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Question 1 to 33 Difficulty 3rd Grade Question 34 to 67 Difficulty 4th Grade
Question 68 to 100 Difficulty 5th Grade Question 101 to 134 Difficulty 6th Grade
Question 135 to 168 Difficulty 7th Grade Question 169 to 202 Difficulty 8th Grade
Question 203 to 304 Difficulty High School


The lists below are known previous math summative assessment test questions from AzMerit (AzM2). Students in Arizona (AZ) are required to take summative academic assessment. All Arizona public schools, including district schools and charter schools, are required to properly administer state and federally mandated assessments.

Personal AI chatbot is solving student's problem of learning loss or forgetting by using smartphone, tablet, and Chromebook to remember on demand.



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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?



Question 37

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



Question 40

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



Question 42

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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?



Question 45

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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?



Question 46

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



Question 47

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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?



Question 48

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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?



Question 50

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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?



Question 51

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Look at the diagram of Laura's yard. Which expression can Laura use to find the perimeter of her yard? (Click to see the diagram)



Question 52

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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?



Question 54

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



Question 55

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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?



Question 58

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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?



Question 60

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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?



Question 62

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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



Question 65

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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?



Question 68

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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?



Question 69

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



Question 70

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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?



Question 73

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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?



Question 74

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Look at the vertex-edge graph. Which statement about the graph is true? Click to see the vertex-edge graph



Question 75

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Students agree that the following equations using integers are true. Which statement about adding integers is not true? Click to see the list of equations.



Question 76

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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?



Question 78

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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?



Question 79

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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?



Question 81

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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?.



Question 83

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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?



Question 84

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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?



Question 94

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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?



Question 96

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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?



Question 99

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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.



Question 103

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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?



Question 107

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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?



Question 108

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



Question 111

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



Question 115

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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?



Question 116

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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?



Question 120

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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?



Question 121

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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?



Question 123

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



Question 124

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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?



Question 125

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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?



Question 127

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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?



Question 129

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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?



Question 130

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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?



Question 131

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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?



Question 134

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A microwave oven is on sale for 20% off the regular price. The sale price is $250. What is the regular price of the microwave oven?



Question 135

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



Question 136

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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?



Question 138

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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?



Question 139

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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?



Question 141

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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?



Question 143

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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?



Question 144

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



Question 147

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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?



Question 149

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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?



Question 150

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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?



Question 151

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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?



Question 152

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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?



Question 153

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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?



Question 163

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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?



Question 166

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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?



Question 169

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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?



Question 170

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




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?




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?




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%?




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




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?




Question 177 Which statement is true?




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




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?




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




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?




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




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




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




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?




Question 186 Which number is irrational?




Question 187 What is the value of the expression?




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?




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




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




Question 191 What is the value of the expression?




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




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




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?




Question 195 What is the value of the expression?




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




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?




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




Question 199 What is the value of the expression?




Question 200 Which situation is best represented by the graph?




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?




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?




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




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?




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




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?




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?




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




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?




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




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




Question 212 What is the value of x?




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?




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?




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




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?




Question 217 Which pair of events is dependent?




Question 218 Which statement has a false inverse?




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?




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?




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?




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




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




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?




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




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




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




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




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?




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?




Question 231 What is the value of the expression?




Question 232 What is the solution to the equation shown?




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




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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IN-V-BAT-AI uses explainable Artificial Intelligence (AI) to automate repetitive solved problem or routine calculation so we can focus our brain power to solve harder new problem then automate again once it is solved.

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IN-V-BAT-AI
USED IN 207 COUNTRIES


Organic Growth



INVBAT.COM - A.I. is a disruptive innovation in computing and web search technology. For example scientific calculator help us speed up calculation but we still need to remember accurately the formula and the correct sequence of data entry. Here comes the disruptive innovation from INVBAT.COM-A.I. , today the problem of remembering formula and the correct sequence of data entry is now solved by combining formula and calculation and make it on demand using smartphone, tablet, notebook, Chromebook, laptop, desktop, school smartboard and company big screen tv in conference room with internet connection.