Students should know how to compare two fractions using the greater‑than symbol so they can tell if the AI’s answer is correct.

Explain your answer
Question 1 Which fraction belongs in the box to make the number sentence true?

Students should understand how fractions appear on a number line so they can check whether the AI’s answer makes sense.

Students should know how to tell which fraction is closest to zero on a number line so they can verify the AI’s answer.

Students should understand what one “set” means so they can figure out how many plates belong in each group. This helps them check whether the AI’s answer makes sense by seeing if the number of plates stays consistent across all the sets in the table. 

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Question 2 The table shows a relationship between the number of sets of dishes and the number of plates in the sets. How many plates are in 1 set of dishes?

Students should understand how to see a whole shape divided into equal parts and recognize which parts are missing. This helps them check whether the AI’s answer makes sense by comparing the number of stamps used to the total number on the page. 

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Question 3 Kari had a page of stamps. She used some of the stamps from the center of the page. The picture below shows the stamps Kari has left. How much of the page of stamps did Kari use?

Page of stamps test generator

Page of stamps test generator

Students should understand how to divide a whole into equal parts so they can check whether the AI’s answer makes sense. When a pizza is shared equally, each person gets one of the same-sized pieces, so knowing how to represent that as a fraction helps students verify the correct portion. 

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Question 4 Gloria and her 3 friends will share a pizza equally. Which fraction shows the portion of the pizza each person will receive?

Students should understand how to trace different paths on a vertex-edge graph without repeating vertices. This helps them check whether the AI’s answer is correct by making sure every possible path from A to D is counted once and no path breaks the rules. 

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Question 5 Look at the vertex-edge graph. How many different paths can be traveled from vertex A to vertex D by visiting a vertex only once?

Students should understand how to compare fractions on a number line to see which one is closest to zero. This helps them check whether the AI’s answer is correct by looking at the size of each fraction and deciding which has the smallest value.  

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Question 6 Which fraction is closest to 0 on a number line?

Students should understand how to read and compare information in a chart so they can check whether the AI’s answer is correct. By looking at each child’s jump time, students can decide which statement matches the data and make sure the answer makes sense. 

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Question 7 Abby, Zach, and Beth had a jump rope contest. The chart below shows the length of time each child jumped rope. Based on this information, which statement is true?

Students should understand how to add whole numbers accurately so they can check whether the AI’s answer is correct. By lining up the digits and adding step by step, students can confirm the total and make sure the AI’s solution makes sense. 

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Question 8 What is the sum of the numbers shown?

Students should understand how to use a partial model to estimate a full amount. By comparing the 21 beans shown to the space left in the jar, students can judge whether the AI’s estimate is reasonable and decide if the answer makes sense. 

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Question 9 The jar below has 21 beans in it. About how many beans will be in the jar when it is full?

Students should understand that 4 × 2 means 4 groups of 2 objects. This helps them check whether the AI’s answer is correct by looking for a figure that shows the right number of groups and the right number of items in each group. 

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Question 10 Which figure shows 4 x 2 ?

Students should understand how to use subtraction to show what was taken away in a story problem. This helps them check whether the AI’s answer is correct by matching the equation to the situation: starting amount minus the amount given away equals the amount left. 

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Question 11 Amber had 13 pencils. She gave some of them away. Now she has 6 left. Which equation could show how many pencils Amber gave away?

Students should understand how to compare fractions on a number line to find which value lies between two given fractions. This helps them check whether the AI’s answer is correct by seeing if the chosen fraction is greater than 3/4 but still less than 1. 

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Question 12 Which fraction is between 3/4 and 1 on a number line?

Students should understand how many cups fit into one jar so they can check whether the AI’s answer is correct. By knowing that each jar holds 4 cups, students can divide the total cups of lemonade by 4 to see how many jars Mario will need. 

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Question 13 Mario knows that a 1-quart jar holds 4 cups of lemonade. He will make 8 cups of lemonade. How many 1-quart jars will Mario need?

Students should understand how shapes connect by matching edges, corners, and angles. 
This helps them check whether the AI’s answer is correct by seeing which piece fits 
perfectly into the open space without gaps, overlaps, or mismatched sides.
  

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Question 14 Look at the puzzle. Which piece completes the puzzle?

Students should understand how to find the pattern in a number sequence so they can check whether the AI’s answer is correct. By noticing how the numbers change from one term to the next, students can figure out the rule and identify the missing value.  

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Question 15 What number is missing from the sequence?

Students should understand how to subtract to find how many more are needed to reach a goal. This helps them check whether the AI’s answer is correct by comparing the goal amount to what Mike already has and finding the difference. 

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Question 16 Mike is saving his pennies. When he saves 695, he will buy some school supplies. Mike has 427. How many more does he need to reach his goal?

Students should understand how to count combinations by choosing one item from each category. This helps them check whether the AI’s answer is correct by multiplying the number of soups, sandwiches, and salads to see how many different lunches can be made. 

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Question 17 The table shows the possible food choices for lunch. How many different lunches can be made that include 1 type of soup, 1 type of sandwich, and 1 type of salad?

Students should understand how to find the perimeter of an array by counting the outside edges only. This helps them check whether the AI’s answer is correct by making sure they count the length around the shape, not the inside squares. 

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Question 18 Look at the array. What is the perimeter of this array?

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Students should understand how to identify 3‑D shapes by counting their bases and vertices. This helps them check whether the AI’s answer is correct by recognizing that only one common solid — the cone — has exactly one base and one vertex. 

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Question 19 Which figure has only one base and one vertex?

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Students should understand how to divide a total into equal groups to solve real-world problems. This helps them check whether the AI’s answer is correct by seeing how many groups of 4 students can be made from 24 students altogether. 

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Question 20 Mr. Jacob's class is going on a field trip. They need to split into groups of 4 students. If there are 24 students in Mr. Jacob's class, how many groups will there be?

Students should understand how to look for a pattern in an input–output table so they can check whether the AI’s answer is correct. By comparing each input to its output, students can find the rule that stays the same every time, such as adding, subtracting, multiplying, or dividing by a certain number. 

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Question 21 Sara used a rule to create the numbers in the input-output table. What rule did Sara use?

Students should understand that to solve an equal-sharing problem, they must know the total amount being shared. This helps them check whether the AI’s answer is correct by realizing that they cannot divide the cookies among Jackie and her friends unless they know how many cookies there are altogether. 

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Question 22 Jackie's mom baked cookies. Jackie wants to share the cookies equally with five friends. What information is needed to determine how many cookies each person could get?

Students should understand how to show the part of a whole that is left after some fraction has been eaten. Since the family ate 3/4 of the pie, students can check whether the AI’s answer is correct by looking for the picture that shows only 1/4 of the pie remaining. 

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Question 23 Joe's family had pie for dessert. They ate 3/4 of the pie. Which picture shows how much pie Joe's family has left?

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Students should understand how to compare two bars on a graph to find the difference between them. This helps them check whether the AI’s answer is correct by subtracting the number of students who have gerbils from the number who have dogs to see how many more students chose dogs. 

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Question 24 The bar graph shows the results of a survey about pets from Mr. Hall's class. Based on the graph, how many more students have dogs than gerbils?

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Students should understand how to read a bar graph by comparing the heights of the bars. This helps them check whether the AI’s answer is correct by finding the bar that is the tallest, which shows the pet chosen by the greatest number of students. 

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Question 25 The bar graph shows the results of a survey about pets from Mr. Hall's class. What is the most popular pet in Mr. Hall's class?

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Question 26 Ms. Ryan asked her student in her class if they have any pets. Her results are shown below.

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Students should understand how to identify the pattern in a sequence so they can check whether the AI’s answer is correct. By looking at how each number changes from one term to the next, students can find the rule and use it to determine the next two numbers in the sequence. 

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Question 27 What are the next 2 terms in the sequence?

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Students should understand how to read a number written in words and rewrite it in standard numeric form. This helps them check whether the AI’s answer is correct by identifying each place value (thousands, hundreds, tens, ones) and putting the digits in the correct order to form the full number. 

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Question 28 What is the numeric form of the number written below?

one hundred four-thousand, one hundred three

Students should understand how to find the total distance when someone travels the same length more than once. This helps them check whether the AI’s answer is correct by adding the pool’s length two times to see how far Randy swims altogether.  

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Question 29 The pool at the park is about 96 feet long. If Randy swims across the length of the pool 2 times, about how many feet will he swim?

Students should understand how to multiply when something happens the same number of times each day. This helps them check whether the AI’s answer is correct by seeing that Rusty helps 4 times every day, and multiplying that by 5 days to find the total number of times he helps his teacher. 

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Question 30 Rusty helps his teacher pass out books 4 times a day. How many times does Rusty help his teacher in 5 days?

Students should understand how to read a number written in expanded form and rewrite it as a standard number. This helps them check whether the AI’s answer is correct by adding the values for the thousands, hundreds, tens, and ones to form the complete number in regular numeric form.

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Question 31 Which number means the same as the one below?

70,000 + 3,000 + 200 + 40 + 7

Students should understand how to check a multiplication problem by using the inverse operation — division. This helps them check whether the AI’s answer is correct by taking the product (21) and dividing it by one of the factors (7 or 3) to see if they get the other factor. 

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Question 32 Morgan solved the problem below for her homework.
7 x 3 = 21
What can Morgan do to check his answer.

Students should understand how to recognize a cylinder by its features: two circular bases and one curved surface. This helps them check whether the AI’s answer is correct by looking for the object that has round ends and straight sides, like a can or a drum. 

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Question 33 Which object is a cylinder?

Students should understand how to follow a rule in a number pattern, such as “double the number.” This helps them check whether the AI’s answer is correct by seeing that each term is multiplied by 2 to get the next one. Any pair of numbers that follows this doubling rule belongs in the pattern.  

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Question 34 Johnny used the rule "double the number" to create the pattern below.

3,6,12, 24, ...

Which pair of numbers is part of the pattern?

Students should understand how making equal piles (equal groups) helps them divide a larger number. This helps them check whether the AI’s answer is correct by seeing that Jay can repeat the same method he used for 48 ÷ 4: he can place 189 objects into 9 equal piles and count how many go in each pile to find the quotient.  

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Question 35 Jay arranged 48 books into 4 equal piles to him find the quotient of 48 ➗ 4. How can Jay use this method to find the quotient of 189 ➗ 9 ?

Students should understand how to convert meters to centimeters before dividing, because the pieces must be measured in the same unit. This helps them check whether the AI’s answer is correct by first changing 8 meters into 800 centimeters, then dividing 800 by 16 to find how many bracelets Martha can make. 

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Question 36 Martha is going to make bracelets to sell for a fundraiser. She bought 8 meters of yarn. She wants to cut it into pieces that are 16 centimeters long for each bracelet. How many bracelets can Martha make?

Students should understand how to use rounding to estimate a total when adding several numbers from a table. This helps them check whether the AI’s answer is correct by rounding each month’s number to a nearest hundred and then adding those estimates to find about how many baseball cards Tika collected in all.  

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Question 37 The table below shows the number of baseball cards Tika collected during four months. What is the best estimate for the number of baseball cards Tika collected in all?

Students should understand how to read a decimal and recognize other forms that represent the same value as a percent. This helps them check whether the AI’s answer is correct by knowing that 0.14  can also be written as the fraction 14/100 or as 14%.  

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Question 38 Which number has the same value as 0.14?

Students should understand how to read a calendar and identify which dates fall on the same day of the week by noticing the pattern of adding 7 each time. This helps them check whether the AI’s answer is correct by looking down the Saturday column and seeing that the dates follow a “plus 7” pattern. This “plus 7” pattern is also called a multiple‑of‑seven pattern.

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Question 39 Look at the calendar below. What best describes the dates that are on Saturdays?

Students should understand how two triangles can be put together to make different shapes. They should then compare the properties of these shapes in terms of the number of vertices, the number of sides, and the calculated perimeter and area.This helps them check whether the AI’s answer is correct by examining whether the figures truly share the same geometric properties or if one shape has different measurements or attributes than the other.  

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Question 40 Stacey used cutouts of two triangles to make the figures below. Which statement is true about the figures?

Students should understand how to follow a rule in a number pattern, such as “divide by 3.” This helps them check whether the AI’s answer is correct by seeing that each number in the pattern must be exactly one-third of the number before it. Any pattern that keeps dividing by 3 each step matches Randy’s rule.  

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Question 41 Randy creates a pattern using the rule "divide by 3". Which pattern uses Randy's rule?

Students should understand how to identify a fraction by comparing the number of items used to the total number available. This helps them check whether the AI’s answer is correct by counting how many eggs Mary used and writing that number over the total eggs in the carton to show the portion she used.  

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Question 42 Mary used some of the eggs from the carton below to make breakfast. What portion of the eggs did Mary use to make breakfast?

Students should understand how locations on a map can be represented as vertices (points) and how the roads or paths between them become edges (lines). This helps them check whether the AI’s answer is correct by matching each place on the map to a vertex and each connection to an edge, then choosing the graph that shows the same connections as the map.  

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Question 43 Look at the map below. Which vertex-edge graph represents this map?

Students should understand that division must be done before subtraction when solving a multi-step expression. This helps them check whether the AI’s answer is correct by seeing that Juan must first solve 21 ÷ 3, and only then subtract that result from 27.  

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Question 44 Juan wants to solve the problem 27 - 21 ÷ 3 . Which step should Juan do first?

Students should understand that probability compares the number of desired outcomes to the total number of possible outcomes. This helps them check whether the AI’s answer is correct by counting how many white pairs there are (10) out of all the pairs in the drawer (11), and expressing the chance of choosing a white pair as the fraction 10/11 of the total. 

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Question 45 John has 10 pairs of white socks and 1 pair of blue socks in his drawer. There are no other socks in the drawer. Without looking, he takes 1 pair out of the drawer. What are his chances of choosing a white pair of socks?

Students should understand that when a problem asks “how much more,” they need to subtract the amount already collected from the total amount needed. This helps them check whether the AI’s answer is correct by subtracting $62.90 from $89.45 to find how much more money Nicki’s class still needs for the pizza party.  

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Question 46 Nicki's class needs to raise $89.45 in order to have a pizza party. So far, she has collected $62.90. How much more money does Nicki's class need to buy the pizza party?

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Question 47 Look at the number pattern. 972, 324, 108, 36, ... If the pattern continues, what will be the 6th number in the pattern?

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Question 48 Mike left school at 3:40 pm. He arrived at home at the time shown on the clock below. How long did it take Mike to get home from school?

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Question 49 What is the solution to the equation ( 3/5 ) - (2/5) = ?

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Question 50 On Monday, Joel had 17 treats to give his puppy. He gives his puppy 2 or 3 treats each day. The table below shows the number of treats Joel has left at the end of each day. Based on the information in the table, which prediction will most likely to happen if Joel continues to give his puppy 2 or 3 treats each day?

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Question 51 Jim has $7.00 that he uses to purchase school lunch. He spends the same amount of money each day. Which expression can be used to show how much Jim can spend on lunch each day?

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Question 52 Look at the diagram of Laura's yard. Which expression can Laura use to find the perimeter of her yard?

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Question 53 Look at the coordinate plane. Which point is located at (3,5)?

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Question 54 Anna asked her class which subject they liked best. She graphed the results. Click to see the graph. Based on the graph, which statement is true?

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Question 55 The rule for finding the cost of any number of tickets (t) is multiply t by $4. How many tickets will $20 buy?

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Question 56 Which list shows all factors of 72?

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Question 57 Look at the figure. Which fraction represents the shaded part of the figure?

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Question 58 Lizeth is having a birthday party. She invited 19 people. She will buy enough juice boxes so each person can have at least 1. If the juice boxes come in packs of 6, how many packs should Lizeth buy?

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Question 59 Which expression will not solve 59 x 20 ?

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Question 60 Marcus bought a pet frog. He went to a pet store to buy some supplies for the frog's home. He found a list of frog rules in the pet store. Small sized frogs need to live in a 10 gallon tank. All frogs need warm light or sunshine. All frogs need water to keep their skin moist. Frogs eat 5 bugs and worms per day. What information should the pet store owner ask Marcus before he sells him the supplies?

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Question 61 Which pair of figures appears to be congruent?

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Question 62 Dylan had a whole cupcake in his lunch bag. He ate only 1/4 of his cupcake. How much of the cupcake does he have left?

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Question 63 What are the coordinates of the endpoints of the line segment?

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Question 64 Which list is in order from greatest to least?

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Question 65 Sandy solved the problem below in her math class. What is another way that Sandy could solve the problem? Click to see Sandy's solution

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Question 66 Look at the data set. 51, 35, 28, 49, 28, 46, 29. What is the median of the data set?

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Question 67 What is the solution to the equation 3 x 10 + (9 x 2) = ?

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Question 68 Logan Academy students take part in four field trips during the school year. They visit a library, a museum, a park, and a zoo. How many different ways can the four trips be ordered for the school year?

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Question 69 A number cube is labeled with the digits 1 through 6. The cube is tossed once. What is the probability that the cube will land on either a 4 or a 6?

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Question 70 A dolphin was swimming at 20 feet below sea level. Then it dove to 45 feet below its original position. Which integer represents the depth of the dolphin's dive?

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Question 71 Which of the following would be best displayed on a double-line graph?

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Question 72 What is the coordinate of point A? Click to see the number line

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Question 73 Grace measures a bean plant at the end of every week. At the end of week 1, the plant is 4 inches tall. It grows 1/2 inch each week for 5 more weeks. How tall is Grace's bean plant at the end of week 5?

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Question 74 Ms. Cook's class bought 2 bags of concrete and some bricks to build a border for their class garden. The bricks cost $51. The total cost of the bricks and the concrete was $57. Which equations can be used to find the cost, b, of 1 bag of concrete?

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Question 75 Look at the vertex-edge graph. Which statement about the graph is true?

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Question 76 Students agree that the following equations using integers are true. Which statement about adding integers is not true?

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Question 77 Look at the graph. Which situation is best reprsented by the graph?

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Question 78 Sheri asks 83 students at school to choose the sports that they most enjoy watching. The students can choose from baseball, basketball, football, and soccer. The results are shown in the table. Which statement is a reasonable conclusion to make from the information in the table?

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Question 79 Scott ran in a two-day race. The first day he ran 5 3/4 miles. The next day he ran 6 5/8 miles. How many total miles did Scott run?

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Question 80 What is the solution to the equation 72,658 ÷ 313 = ?

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Question 81 To place 0.67, 3/4, and 34% in order from least to greatest. John changes 3/4 to 0.75 and 34% to 0.34. Then he uses the three decimals to correctly place the original numbers in order from least to greatest: 34% , 0.67, 3/4. Which problem is best solved by using this same strategy?

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Question 82 What is the area of the shaded figure?

Augmented Reality to show the concept of Area, Perimeter, and Volume using Geogebra 3D AR

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Question 83 The diagram below shows the length and width of the wall that Tara is going to cover with wallpaper. What is the least amount of wall paper Tara will need to cover the entire area of the wall?

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Question 84 Samantha and Pedro each have 2 fair number cubes. The faces of each cube are numbered 1 through 6. They each rolled their 2 number cubes 50 times and recorded the sum of the numbers rolled. Based on the data in the tables, which statement is not true?

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Question 85 A diagram of Ryan's yard is shown. Which expression can Ryan use to find the total area of his yard?

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Question 86 What is the solution to the equation 5 + 9 x 21 = ?

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Question 87 Which list shows all of the prime numbers between 0 and 22?

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Question 88 Which number is closest to the answer to the problem 39 x 62 ?

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Question 89 What is the next term in the pattern 1.25, 1.95, 2.65, 3.35, ...

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Question 90 Which value for x makes the number sentence true 3x + 10 = 19 ?

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Question 91 Look at the number pattern. 1/4, 1 1/2, 2 3/4, 4, ... What rule is used to get the next term?

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Question 92 Two angles of a triangle add up to 65°. What is the measure of the third angle?

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Question 93 What is 3/5 written as a percent?

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Question 94 Erika is baking cupcakes. The recipe calls for 1 1/4 cups of sugar for the batter, and 1 2/3 for the frosting. About how many total cups of sugar will Erika need for her recipe?

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Question 95 What is the mean of the numbers listed 31, 42, 46, 47, 51, 51, 68 ?

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Question 96 Roberto began his homework at 4:25 p.m. He finished it one and a half hours later. At what time did Roberto finish his homework?

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Question 97 Which figure has only one pair of parallel sides? Click to see the figures

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Question 98 What is the solution to the expression 3 - 4(1/2) + 7 ?

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Question 99 Sand Dollar Elementary is planning a school field trip for its fourth and fifth grade students. The location that the students visit will depend on their names. The chart below shows the options for the field trip locations. Based on the information in the chart, which statement is not true?

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Question 100 What is the solution to the equation 7400.05 - 526.175 = ?

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Question 101 What represents a 2/3 ratio?

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Question 102 The cube shown has a volume of 125 cm3. What is the area of the base of the cube?

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Question 103 There are 3 classes of 22 students making ice cream sundaes. A sundae can be made using one of 3 syrups and one of 3 candy toppings. Each student makes one sundae. Which expression can be used to find the total number of sundaes made by the students.

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Question 104 What is the absolute value of the coordinate of the point shown on the number line?

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Question 105 What is the value of the expression 2 + 7(3.8 - 1.4) = ?

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Question 106 What is equal to ³√27 ?

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Question 107 Each stem-and-leaf plot shows the number of points scored by a team in basketball tournament. How many total scores are represented by all stem-and-leaf plots?

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Question 108 Each stem-and-leaf plot shows the number of points scored by a team in basketball tournament. What is the greatest number of points scored by any team in one game?

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Question 109 What are the possible outcomes (sample space) of the spinner?

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Question 110 Look at the sequence. 15, 3, 0.6, 0.12, ... What is the next number in the sequence?

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Question 111 Look at the equation
2 n + 1.4 = 8.6 Which inverse operations will solve the equation?

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Question 112 Look at the expression.
6 n + 3 What is the value of the expression when n = 2/3 ?

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Question 113 What is the total area of the figure?

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Question 114 What is the value of the expression 6 / 7 ÷ 3 / 4 = ?

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Question 115 Look at points J and K on the number line. Which expression represents the distance between points J and K on the number line?

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Question 116 Kara plans to carpet the entire floor in each of the two rooms shown below. What is the best estimate of the total amount of carpet, in square feet, needed to completely cover both floors?

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Question 117 What is the measure, in degrees, of the angle that is complementary to ∠ RVS?

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Question 118 Which diagram represents the prime factorization of 36?

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Question 119 What are the coordinates of the missing vertex of the parallelogram below?

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Question 120 Vincent's baseball coach suggested that he dirnk one-half gallon of water daily. If Vincent drinks one-half gallon of water, how many 8-ounce glasses will he drink?

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Question 121 On the grid below, points Q, R, and S represent three vertices of a rectangle. What are the coordinates of point T, the vertex that will complete rectangle QRST?

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Question 122 Which expression is the same as 11%?

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Question 123 Rafael performed an experiment by spinning the arrow on a spinner 200 times. His results are recorded in the table below. Which is closest to the number of times he should expect the arrow to land on red section?

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Question 124 Randy has $7.50 to use on buying notebooks for school. If each notebook costs $1.09 including tax, how many can Randy buy?

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Question 125 The scatter plot shows the relationship between the amount of time Casey was at the mall and the amount of money she spent there. Which statement best describes the relationship between the amount of money Casey spent and the amount of time she was at the mall?

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Question 126 Which expression matches the model shown?

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Question 127 Lauren wants to put a brick border around her garden. A drawing of her garden is represented by the shaded section on the grid below. What is closest to the number of meters of brick border Lauren will need to put around her garden?

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Question 128 Look at the table of values. Which equation represents the relationship between x and y?

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Question 129 Valerie has 35 students in her art class. She asked each student what types of activities they like to do and made a Venn diagram of the results. How many students in Valerie's class told her that they only like to draw and sculpt?

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Question 130 Jim and Don are playing darts. Jim has scored 16, 12, and 2 points. Don's turn is after Jim's. Don has scored 12, 10, and 2 points. They have taken the same number of turns. Who is ahead at this time? Which statement does Kelly need for solving the problem?

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Question 131 Look at the graph. If the water continues to drip at the same rate, how many milliliters of water will have dripped at 14 hours?

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Question 132 Which statements explains how to find the area of the figure below?

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Question 133 Which graph shows a reflection of the rectangle across the horizontal dotted line?

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Question 134 Scott delivers the 6th grade newsletter to five rooms at his school. He must find the quickest route. The vertex-edge graph shows the rooms that Scott must deliver to and the time, in seconds, it takes him to get from room to room. If Scott begins and ends at his Homeroom, what is the quickest route for him to take and to make sure he visits each room only once?

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Question 135 A microwave oven is on sale for 20% off the regular price. The sale price is $300. What is the regular price of the microwave oven?

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Question 136 If two parallel lines are cut by a non-perpendicular transversal, which type of angles are not congruent?

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Question 137 The circumference of a circle measures 12.56 inches. What is the measure of the radius of the circle?

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Question 138 The number of students (class size) in each of 7 classes is shown as 15, 25, 25, 29, 31, 32, 37 Which class size affects the range of all 7 classes the most?

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Question 139 Becky created the line graph below to show the distance she traveled during one day. Which activity could be represented by the circled portion of the line?

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Question 140 For which of the following would the use of a table of values not be helpful?

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Question 141 The Venn diagram below shows the number of students in a class who have visited the Grand Canyon, Carlsbad Caverns, or both. There are 34 students in the class, and all of the students have visited at least one of the locations. What is the number of students, x, who have only visited the Grand Canyon?

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Question 142 What is the value of the expression (1/2)y - x ?

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Question 143 The graph below shows the increase in average gasoline prices from Jan. through May. If the gasoline prices continue to increase at the same rate, what will be the average gasoline price in July of that same year?

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Question 144 Max, Owen, Elise, and Cara went to a school carnival. They each played the dart throw, ring toss, water shoot, and basketball throw. Each student won a different game. Clues: Max didn't score any points at the dart throw. Elise correctly tossed 2 rings, but did not win the ring toss. Cara won a bear for outscoring everyone at the water shoot. Owen score more than anyone at the basketball throw. Based on the clues, which game did Max win?

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Question 145 Which expression has a value of -3?

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Question 146 Between which two consecutive integers is the value of this irrational number?

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Question 147 Using the results in the tables, what is the probability of a spinner landing on the letter P in both experiments?

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Question 148 The radius of a circular fish pond is 4 feet. What is the circumference of the pond in terms of π?

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Question 149 On a winter Monday in Prescott, the temperature at 8 a.m. was -8°F. At 1 p.n. it was 27°F. By how many degrees did the temperature change from morning to afternoon?

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Question 150 Dave's neighbors are going on a trip to Japan. He wants them to bring him a souvenir t-shirt, but Japan has its own unit of currency. Conversion 1 US dollar = about 94.73 Japanese yen. Dave gives his neighbors $20.00. About how many Japanese yen will Dave's neighbors be able to spend on his t-shirt?

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Question 151 Karen wants to visit all of the points of interest near her home. She will leave from her home and then visit each place on her vertex-edge graph only once. What is the shortest distance that Karen will travel to each site and then return home?

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Question 152 Ken will conduct a probability experiment by removing a cube from a bag of colored cubes that are all the same size and shape. Ken will use the following procedure. Without looking, remove a cube. Record its color. Put it back in the bag. Repeat the experiment. The probability of drawing a green cube is 1/2. What is the probability that the first 3 cubes that Ken removes will be green?

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Question 153 Alfredo bought 3 new notebooks for school. He paid $2.49 for all the notebooks. Which equation can be used to find n, the cost of each notebook?

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Question 154 The table shows a sequence of numbers. What is the rule for the sequence?

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Question 155 Look at the figure. Which statement can be used to find the total area of the figure?

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Question 156 Which polygon has the same perimeter as the one below?

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Question 157 Which two points on circle Q form an arc?

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Question 158 What is the value of the expression?

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Question 159 What is the solution to the equation?

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Question 160 What is 7.29 x 10⁵ written in standard form?

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Question 161 Which pair of events is dependent?

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Question 162 Which figure is a right prism with a hexagonal base?

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Question 163 Ramon wants to graph his science test scores each week. He will use the graph to determine a trend for his scores based on the days of the week he takes the test. What is the best type of graphic display he should use for this?

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Question 164 Which figure shows the triangle below reflected over the x-axis, then reflected over the y-axis?

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Question 165 Which table of values can be used to graph the equation below?

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Question 166 Jose is having a party and will invite all of his friends. He will supply the following items for each person. 3 slices of pizza, 2 bottles of sports drink, and 1 piece of cake. What information is needed to make sure that Jose has pizza, sports drink, and cake for each person?

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Question 167 What is the solution to the equation ?

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Question 168 What situation could the graph best represent?

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Question 169 There are 6 books on a reading list.Students must read 3 of the books on the list. In how many different ways can a student select 3 books?

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Question 170 Cece scored a 78 on her first math test. She scored an 84 on her second test. What is the percent increase, rounded to the nearest tenth, from Cece's first score to her second score?

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Question 171 How many square feet are there in 288 square inches?

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Question 172 Gary has 10 coins in his pocket 2 quarters, 5 dimes, and 3 nickels. Without looking, Gary pulls one coin from his pocket and put it on a table. Then, he pulls one more coin from his pocket. What is the probability that the first coin is a dime and the second coin is a nickel?

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Question 173 A tower is 160 feet tall and cast a shadow 34 feet long. A person standing next to the tower casts a shadow 1.5 feet long. Which equation will find the height of the person, x?

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Question 174 Melissa earned a score of 75% on her first test. She wants to earn an 85% on her second test. What is the percent increase, rounded to the nearest whole number, from 75% to 85%?

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Question 175 Which shape will create a tesallation using only translations?

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Question 176 A box contains 4 red pencils, 3 blue pencils, and 3 yellow pencils. What is the probability that a student randomly selects a blue pencil, keep it, and then a second student randomly selects a yellow pencil?

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Question 177 Which statement is true?

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Question 178 Look at line segment MN on the coordinate plane. What is the distance between the endpoints of line segment MN?

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Question 179 Emily, Zeke, Harry, and Brook each conducted surveys on the number of books people in their homes. Then they each answered the question below. "Must all measures of central tendency appear as a number in the set of data collected?" Which student's statement is true?

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Question 180 The stem-and-leaf plot represents test scores from two science classes. Which statement about the data is true?

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Question 181 Students submitted pictures for the school yearbook. Only 4/5 of the submitted pictures fit in the yearbook. There were 105 pictures that did not fit. Approximately how many total pictures were submitted for the yearbook?

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Question 182 Look at the number line. Which value does P best represent?

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Question 183 Three linear equations are shown below. Which statement about the three linear equations is incorrect?

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Question 184 A go-cart has a maximum weight limit of 240 pounds. Which inequality correctly represents this weight limit, W?

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Question 185 Joe is creating a number pattern. He begins the pattern with the number 3. Each number after 3 is twice the number before it, plus 1. Which pattern fits Joe's rule?

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Question 186 Which number is irrational?

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Question 187 What is the value of the expression?

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Question 188 Santos has a job after school. He earns $8 per hour. Which equation will determine h, the number of hours he needs to work to earn $44?

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Question 189 Look at the figure. Based on the figure, which equation is not true?

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Question 190 The shaded piece has been transformed into a frieze pattern. Which transformations best describe how the pattern was created?

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Question 191 What is the value of the expression?

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Question 192 In circle P, which of the following create a secant?

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Question 193 A right cylinder has a height of 5 inches and a radius of 7 inches. What is its volume in terms of π

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Question 194 The student council is making gift bags for a fund raiser. They have 105 bags, 150 pens, 115 notebooks, 330 pencils, and 190 highlighters. If each gift bag consists of one bag, 2 pens, 1 notebook, 3 pencils, and 2 highlighters, what is the greatest number of gift bags that can be made?

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Question 195 What is the value of the expression?

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Question 196 John is comparing his quiz scores from two weeks in math class. Which summary statistics is the same for both weeks?

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Question 197 The directed graph shows the results of a chess tournament among 4 players. Edgar won his match against Frankie. Who won the least number of games?

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Question 198 What equation is the rule for the function illustrated by the table of values?

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Question 199 What is the value of the expression?

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Question 200 Which situation is best represented by the graph?

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Question 201 Joe needs to find the midpoint of a line segment on a coordinate plane. Given the coordinates of the endpoints, what is the best way for him to find the midpoint of the line segment?

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Question 202 Martin is buying a fish tank. For the tank, he wants 10 clownfish, a few plants, and some stones for the bottom. He wants to make sure that the tank is large enough for the fish to swim comfortably. What does he need to ask the salesman in order to make sure he buys a large enough tank?

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Question 203 Sandra wrote the sequence below. Which equation represents the rule for finding the nth term of this sequence?

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Question 204 A team has twelve 15-year-old players and eight 16-year-old players. The coach of the team is 43 years old. Which measure of central tendency best represents the ages of the team, including the coach and why?

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Question 205 Which does not represent y as a function of x?

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Question 206 Jessica deposits $300 into a savings account that pays an annual interest rate of 2% compounded twice a year. How much money will Jessica have in her account at the end of one year?

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Question 207 A telephone company wants to create as many 7-digits phone number as possible without changing the first 3 digits. How many phnoe numbers can be created?

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Question 208 How much greater is the volume of a cube when the length of each edge is multiplied by 3?

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Question 209 The data below represents the scores for a soccer team in seven games. Which measure of central tendency best represents the overall performance of the soccer team, and why?

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Question 210 Look at the recursive formula. What are the first 4 terms of this sequence?

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Question 211 Which point on the number line shows the best estimate of the irrational number below?

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Question 212 What is the value of x?

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Question 213 Figure EFGH has a perimeter of 40 cm and an area of 96 cm². It is dilated by a factor of 1/4 to create figure E^'F^'G^'H^'. What statement about the perimeter (p) and the area (A) of figure E^'F^'G^'H^' is true?

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Question 214 The area of a larger square is 16 times the area of a smaller square. How many time as long is the base of the larger square than the base of the smaller square?

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Question 215 What is the distance between -4 and 3 ?

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Question 216 Six differently colored balls (red, blue, green, orange, purple, and white) are placed in a basket. Without looking, three balls are removed. What is the total number of combinations that include a red ball?

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Question 217 Which pair of events is dependent?

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Question 218 Which statement has a false inverse?

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Question 219 Joe has the following information about a trapezoid. Which equation can Joe write to find the unknown base length, b₂ for the trapezoid?

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Question 220 The coordinates (2,2) and (-3,1) are two of the vertices of the figure on the coordinate plane. What are the coordinates of the midpoint of the two vertices?

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Question 221 Debbie and Jamal each performed an experiment in which they spun a fair spinner 12 times. They recorded their results. What outcome has a probability of 0?

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Question 222 Look at the 3-dimensional figure. What is the total surface area of the figure?

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Question 223 Look at the triangle. What is not a possible value of x ?

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Question 224 Chords line segment NP and line segment MQ intersect at point S in circle R. If line segment MS = 3, NS = 2, and SQ = 8, what is the length of line segment SP?

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Question 225 Look at circle M. What is the value of x ?

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Question 226 Which table represents y as a function of x ?

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Question 227 What is the graph of the equation y = x² - 4x + 4

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Question 228 What are the values of x in the equation shown?

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Question 229 The table shows a sequence of figures, the number of squares in each figure, and the perimenter of each figure. Based on the pattern shown, which conjecture is valid?

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Question 230 Triangle PQR is shown. What are the coordinates of P' when △ PQR is dilated by a scale factor of 3 using the origin as the center?

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Question 231 What is the value of the expression?

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Question 232 What is the solution to the equation shown?

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Question 233 What is the complete factorization of the polynomial shown?

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Question 234 Look at the following equations. 8p = 12-2q and q + 4p = 6. Which statement is true about the lines graphed from the equations?

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Question 235 Points N,P,R, and Q lie on circle O. In circle O, what is the measurement of angle PMN written mathematically as m∠PMN?

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Question 236 In the diagram below, line segment RT intersects line segment QU at point S. Which postulate should be used to prove that
triangle ∆ RQS is congruent (approximately equal to) written mathematically ≅ triangle ∆ TUS?

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Question 237 Assume the statement shown below is true."if P, then Q." based on this assumption, which of the following must be true?

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Question 238 Look at the expression. -2a[-2a(-2a+4b) + 3b(-a-6)]. Which of the following correctly simplifies the expression?

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Question 239 The statements below are out of order.

Statement W: If blitz, then kerd.
Statement X: If mot, then det.
Statement Y: If kerd, then mot.
Statement Z: If toc, then blitz.

Which list shows the if...then statements in logical order?

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Question 240 Janelle's cell phone company charges a monthly fixed rate for the first 1,000 minutes, and then charges for each additional minute. Which graph best represents Janelle's monthly cell phone plan?

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Question 241 What are the y-intercept and the slope of the graph of the following equation?

- 2x + 4y = 8

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Question 242 Which of the following best represents the graph of the inequality y < ½ x + 3 ?

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Question 243 Which pair of figures is structurally similar?

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Question 244 Points (-1,8) and (3,5) lie on a coordinate plane. What is the distance between the two points?

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Question 245 What is the distance between points M(3,1) and N(-2,4) on the graph below?

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Question 246 Which set of numbers represent an infinite set?

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Question 247 Earth's mean temperature is 59°F, and it is 9.3 x10⁷ miles from the sun. Mar's mean temperature is -85° F, and it is 141.6 x 10⁶ miles from the sun. Which matrix represents these data?

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Question 248 Which statement has a true converse?

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Question 249 Trapezoid JKLM is shown below. What is the length of KM?

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Question 250 Study ∆ RST on the grid below. When ∆ RST is translated 4 units down, what are the apparent coordinates of T'.

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Question 251 The coach wants to introduce each of the starting players at Tuesday's game in how many different order can each of the the 5 starting players be introduced?

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Question 252 Which equation represents the data in the table?

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Question 253 Which expression is the nth term of the quadratic sequence shown in the table below?

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Question 254 A committee consisting of 5 teachers will be chosen from a staff of 25 teachers. To find the number of different possible 5-teacher committees, which should be used?

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Question 255 Bob created a number pattern beginning with 3. He created the next term by doubling the previous term and subtracting 1. The first 5 terms of the number pattern are shown below.

3, 5, 9, 17, 33, . . .

What is the 7th term in Bob's number pattern?

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Question 256 What is the value of the expression below

a² + |ab| when a = -4 and b = 3 ?

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Question 257 Which could be the graph of the equation below?

y = 1/3 x - 2

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Question 258 Student council members plan to sell shaved-ice cones to raise funds. They will spend $200.00 for supplies and whill charge $1.00 for each shaved-ice cone. Which graph represents P, their profit, as a function of n, the number of cones sold?

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Question 259 A polygon has been rotated about the origin. Which statement must be true?

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Question 260 Study the triangle below. What is the cosine of ∠X?

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Question 261 Which is the graph of y = x² + 2 ?

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Question 262 Which is the apparent graph of y = 2/3 x - 4 ?

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Question 263 The formula for the lateral area of a pyramid is A = 1/2 pl. What is p in terms of A and l ?

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Question 264 The rule for a particular number pattern is to multiply the immediately preceding term by 2 then add 1. The first four terms of this number pattern are given below.

-2, -3, -5, -9, . . .

What is the 6th term of the number pattern?

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Question 265 What is the apparent solution to the system of equations graphed below?

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Question 266 Three transformation will be performed on triangle ∆ ABC. Which set of transformation

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Question 267 The stem-and-leaf plot below shows test scores for 25 students. Which box-and-whisker plot correctly displays the data in the stem-and-leaf plot?

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Question 268 Study the proportion below.

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Question 269 A teacher must select 2 students from a list of 4 students. How many distinct groups of 2 students are possible?

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Question 270 Study the quadratic equation below.

2x² + 3x - 20 = 0

Which of the following shows two solutions to the equation?

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Question 271 Which of the following does not show a close approximation?

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Question 272 Jan proved that the two triangles below are congruent. Which postulate did Jan use for her proof?

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Question 273 The table below shows information about the members of a concert choir at a high school. Which of the following graphs best describes the choir's membership data?

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Question 274 What is the value of x in the figure below?

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Question 275 The number cube shown is numbered 1 through 6 on its faces. When the cube is tossed once, what is the probability a number divisible by three will be on the top face?

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Question 276 Let n be any even integer. Which of the following is always true about (n + 5) ?

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Question 277 Points A, B, and C lie on circle M, as shown below. What is the measure of ∠ BMC if the measure of arc BAC is 320° ?

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Question 278 ∆ XYZ is translated 3 units to the right and 2 units down. What will be the apparent coordinates of the image of point X?

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Question 279 Which of the following are inverse operation?

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Question 280 The diagram below shows a building, a nearby flagpole, and their shadows. Based on the information in the diagram, what is x, the length of the shadow of the building?

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Question 281 In the pattern below, each term is found by doubling immediately the preceding term and adding 1

3, 7, 15, 31, 63, . . .

What is the 7th term in the pattern?

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Question 282 Based on the diagram below, which of these arguments is valid?

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Question 283 Which statement is true?

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Question 284 Which expression below has been simplified using the correct procedure?

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Question 285 Which procedure correctly simplifies the expression below?

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Question 286 Which of the graphs below contains a line of best fit that best represents the data?

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Question 287 The table below shows the percentage of the most popular colors of sports cars made during 2002. Which component causes the data to seem distorted?

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Question 288 Sam began a pattern with 4 and 7. He added them to get 11, the third term. To get each term after the third, he added the two preceding terms.

4, 7, 11, 18, 29, . . .

What is the 9th term in this sequence?

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Question 289 The set of real numbers shown below is a subset of which of the following?

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Question 290 Triangle ∆ ABC is show below. What is the cosine of angle B?

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Question 291 A 4th degree polynomial expression has the form shown below. In the expression

5x⁴ - 7x³ - 3x² + 8x - 4, what is the value of a₃?

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Question 292 The formula for the surface area of a cube is A = 6s².

What is the formula for s in terms of A?

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Question 293 The graph below shows the percent of the moon's face illuminated for the month of April. On What day in April did the moon reach its maximum illumination?

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Question 294 Which is a correct procedure for solving the linear inequality below?

2y + 8 > 4 - 6y

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Question 295 Which of the following function of x has the apparent range of { y: y ≥ 0} ?

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Question 296 The Palmdale High School varsity basketball team's total points per game for this year's season is shown below.

Which stem-and-leaf plot could be used to correctly display the data?

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QUESTION 297 If b ≠ 0, which equation is equivalent to the one shown below?

ax + by = c

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QUESTION 298 If the sum of the measures of two angles is 90°, then the angles are complementary. In the triangle ABC, m∠A = 25°, m∠B = 65° , m∠C = 90°

Which valid conclusion follows directly from the previous statements?

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QUESTION 299 What is the solution to the inequality below?

-3x-1 ≤ 5

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QUESTION 300 The first two terms in a sequence are shown below. Each term after the first is found by rotating the arrow 45° clockwise. What will be the 7th term in the sequence?

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QUESTION 301 In a cafeteria survey, 300 students chose one favorite lunch from 4 choices. The probability that a randomly selected student chose pizza was 0.25. Which data set support this conclusion?

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QUESTION 302 Which rule could be used to find each term, after the second, in the recursive sequence shown below?

2, 3, 6, 18, 108, . . .

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QUESTION 303 In the diagram below BP ≅ PK and AP ≅ PJ What additional information is sufficient to prove ∆ APB ≅ ∆ JPK by side-angle-side (SAS) ?

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QUESTION 304 A pattern is defined by the following rules. The first term is 4. The second term is 7. Each term after the second is found by adding 3 to the immediately preceding term. What is the fifth term in this pattern?