2022 Test B Math
Practice questions from 2022 Test B Math, with an explanation of every answer.
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Beth makes a bead
Beth makes a bead in the shape of a cube with side length 18 millimeters. She cuts a hole in the shape of a square prism out of the center…
- Type Volume and surface area
- NYS standards 7.G.6, 6.G.2
- Difficulty 3 of 5
- Format Grid-in
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The table shows the proportional relationship
The table shows the proportional relationship between x cups of oatmeal and y ounces of raisins in a bread recipe. BREAD RECIPE Cups of Oatmeal (x) Ounces of Raisins (y)…
- Type Proportions and scale
- NYS standards 7.RP.2b
- Difficulty 2 of 5
- Level Below grade 7
- Format Grid-in
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Kelly had 7.3 grams of sugar
Kelly had 7.3 grams of sugar. She used 2.7 grams in her coffee. How many grams of sugar does she have left?
- Type Fractions and decimals
- NYS standards 6.NS.3
- Difficulty 1 of 5
- Level Below grade 7
- Format Grid-in
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The total cost of a book
The total cost of a book is given by the expression 1.08x, where x is the price of the book before tax. The tax rate is m%. What is the…
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A row of seats in a theater
A row of seats in a theater contains 20 seats numbered from 101 to 120. The probability that a randomly chosen seat in this row will be numbered 104 is…
- Type Probability
- NYS standards 6.SP.8a, 6.RP.3c
- Difficulty 2 of 5
- Level Below grade 7
- Format Grid-in
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What is the prime factorization of 3,575
What is the prime factorization of 3,575?
- Type Number properties
- NYS standards 6.NS.4, 6.EE.1
- Difficulty 2 of 5
- Level Below grade 7
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If (x + 2y)/5 = 3y
If x + 2y/5 = 3y, what is the value of x in terms of y?
- Type Linear equations
- NYS standards 8.EE.7b, 7.EE.4a
- Difficulty 3 of 5
- Level Above grade 7
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What is the value of z
What is the value of z in x/10 + y – x/5 = z/10?
- Type Linear equations
- NYS standards 7.EE.1, 7.EE.2
- Difficulty 3 of 5
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Two sets, R and S, are described below
Two sets, R and S, are described below. The sum of the elements in set R equals the sum of the elements in set S. R = {5, x, 3,…
- Type Linear equations
- NYS standards 7.EE.4, 7.NS.1c
- Difficulty 3 of 5
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If x = 1/4
If x = 1/4, what is the value of 2/2 – x?
- Type Fractions and decimals, Algebraic expressions
- NYS standards 6.EE.2c, 6.NS.1
- Difficulty 2 of 5
- Level Below grade 7
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The cost of shipping a package
The cost of shipping a package is $12, plus $2 for each additional pound over 3 pounds. Which expression represents the total cost, in dollars, of shipping a package that…
- Type Algebraic expressions
- NYS standards 6.EE.6, 6.EE.2a
- Difficulty 3 of 5
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Julie is at a clothing store
Julie is at a clothing store. She wants to buy a bag for $18.75 and some T-shirts for $9.25 each. She can spend no more than $50.00. Which inequality can…
- Type Inequalities
- NYS standards 7.EE.4b, 6.EE.8
- Difficulty 2 of 5
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2x + 11 > 3x + 9
2x + 11 > 3x + 9 For what values of x is the above inequality true?
- Type Inequalities
- NYS standards 7.EE.4b, 8.EE.7b
- Difficulty 3 of 5
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In a scale drawing of a triangular park
In a scale drawing of a triangular park, the sides measure 5 inches, 7 inches, and 8 inches. The perimeter of the actual park is 25 miles. What is the…
- Type Proportions and scale, Area and perimeter
- NYS standards 7.G.1, 7.RP.2b
- Difficulty 2 of 5
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P is the center of the circle
P is the center of the circle above, and R, S, and T are points on the circle. What is the value of x?
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In the right triangle shown above
In the right triangle shown above, what is the measure of the smallest angle?
- Type Angles and lines
- NYS standards 8.G.5, 7.G.5, 7.EE.4a
- Difficulty 3 of 5
- Level Above grade 7
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James must read 84 pages of a book
James must read 84 pages of a book for a class assignment. If he reads 1/4 of the pages in the morning and 1/3 of the remaining pages in the…
- Type Fractions and decimals
- NYS standards 7.EE.3, 7.NS.3
- Difficulty 2 of 5
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1/11 + 1/22 + 1/33
1/11 + 1/22 + 1/33 What is the value of the expression shown above?
- Type Fractions and decimals
- NYS standards 7.NS.1d, 6.NS.4
- Difficulty 2 of 5
- Level Below grade 7
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At Midville High School
At Midville High School, 64 students are members of either the orchestra or the choir, or both. Of these students, 38 are members of the orchestra, and 46 are members…
- Type Counting and arrangements
- NYS standards 7.SP.8b, 6.RP.1
- Difficulty 3 of 5
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Which of the following decimals is equivalent
Which of the following decimals is equivalent to 1 2/3 + 2 4/9?
- Type Fractions and decimals
- NYS standards 7.NS.2d, 7.NS.1d
- Difficulty 2 of 5
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The decimal 0.4
The decimal 0.4 can be written as the fraction x/25. What is the value of x?
- Type Fractions and decimals, Proportions and scale
- NYS standards 6.NS.3, 6.RP.3
- Difficulty 1 of 5
- Level Below grade 7
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(−9(−4)² + 36(−4) + 304)/(−4)
What is the value of -9(-4)^2 + 36(-4) + 304-4?
- Type Arithmetic and order of operations
- NYS standards 7.NS.2a, 7.NS.2b, 6.EE.2c
- Difficulty 3 of 5
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Maxie borrowed $7.75 from her mother
Maxie borrowed $7.75 from her mother, $11.00 from her father, and $4.50 from her brother to purchase a video game. Her grandmother gave her $25.00 as a gift. How much…
- Type Fractions and decimals
- NYS standards 6.NS.3, 6.NS.5
- Difficulty 1 of 5
- Level Below grade 7
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Seth grows strawberries in his garden
Seth grows strawberries in his garden. He picked 2 1/2 cups of strawberries on Monday. He picked 4 cups of strawberries on Tuesday. He ate 3/4 cup of strawberries for…
- Type Fractions and decimals
- NYS standards 7.NS.3, 7.EE.3
- Difficulty 2 of 5
- Level Below grade 7
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Which situation involves quantities that combine to equal zero
Which situation involves quantities that combine to equal zero?
- Type Arithmetic and order of operations
- NYS standards 7.NS.1a, 6.NS.5
- Difficulty 1 of 5
- Level Below grade 7
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(2/3 − 4/5 × 1/3)/(5/3 + 1/4 ÷ 3/4)
(2/3 – 4/5 × 1/3)(5/3 + 1/4 ÷ 3/4) =
- Type Fractions and decimals, Arithmetic and order of operations
- NYS standards 7.NS.3, 6.NS.1, 6.EE.2c
- Difficulty 3 of 5
- Level Above grade 7
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An athlete runs 1/8 kilometer in 3/4 minute
An athlete runs 1/8 kilometer in 3/4 minute. At this rate, how many kilometers would the athlete run in 1 minute?
- Type Rates and speed, Fractions and decimals
- NYS standards 7.RP.1, 6.NS.1
- Difficulty 2 of 5
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A bus trip takes 9 hours
A bus trip takes 9 hours if the mean speed is 50 miles per hour. How many hours would this trip take if the mean speed was 45 miles per…
- Type Rates and speed
- NYS standards 6.RP.3b
- Difficulty 2 of 5
- Level Below grade 7
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A birdseed mixture is 2/5 sunflower seeds
A birdseed mixture is 2/5 sunflower seeds. The cost of the sunflower seeds is $0.10 per ounce. At this rate, what is the cost of the sunflower seeds in 25…
- Type Unit conversion, Ratios
- NYS standards 7.RP.3, 6.RP.3d
- Difficulty 3 of 5
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A robot moves forward
A robot moves forward at the rate of 9 steps every 6 seconds. If each step is x feet long, what must x be in order for the robot to…
- Type Rates and speed, Unit conversion
- NYS standards 7.RP.3, 6.RP.3d, 6.RP.3b
- Difficulty 3 of 5
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There were 36 people at Emily’s party
There were 36 people at Emily’s party. If each person at the party drank 2 cups of juice, how many gallons of juice did they drink altogether? Note: 1 gallon…
- Type Unit conversion
- NYS standards 6.RP.3d, 6.NS.2
- Difficulty 2 of 5
- Level Below grade 7
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A student reads 1/12 of a book
A student reads 1/12 of a book in 1/3 hour. What fraction of the book can the student read in 1 hour?
- Type Rates and speed, Fractions and decimals
- NYS standards 7.RP.1, 6.NS.1
- Difficulty 2 of 5
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The perimeter of square W
The perimeter of square W is twice the perimeter of equilateral triangle X. What is the ratio of the length of one side of square W to the length of…
- Type Ratios, Area and perimeter
- NYS standards 7.RP.3, 7.EE.4
- Difficulty 4 of 5
- Level Above grade 7
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A recipe uses 2/3 cup of sugar
A recipe uses 2/3 cup of sugar for every 1 1/4 cups of flour. A cook wants to increase the recipe. How many cups of sugar are needed for each…
- Type Rates and speed, Fractions and decimals
- NYS standards 7.RP.1, 6.NS.1
- Difficulty 3 of 5
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READING ASSIGNMENTS
READING ASSIGNMENTS Assignment Pages Assigned I 3–17, inclusive II 25–38, inclusive III 45–60, inclusive Over a two-week period, students are assigned a total of 250 pages to read from a…
- Type Percents, Number properties
- NYS standards 7.RP.3, 6.RP.3c
- Difficulty 4 of 5
- Level Above grade 7
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A box contains an unknown number
A box contains an unknown number of green marbles. An experimenter adds 100 red marbles to the box, mixes the marbles thoroughly, and then draws out 10 marbles at random.…
- Type Proportions and scale
- NYS standards 6.SP.1b, 6.RP.3
- Difficulty 3 of 5
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A car costing $24,000
A car costing $24,000 is subject to a sales tax of 8%. If Bindu made a $10,000 down payment on this car, what is the total amount she has left…
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WINTER TEMPERATURES IN CHICAGO
WINTER TEMPERATURES IN CHICAGO Day 1 2 3 4 5 6 7 Temperature (°F) 17 7 2 4 −3 −5 1 The table above shows temperatures for a one-week period…
- Type Mean, median, mode and range, Arithmetic and order of operations
- NYS standards 7.NS.1c, 6.SP.5c
- Difficulty 2 of 5
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A total of 26 job applicants
A total of 26 job applicants took a computer-competency test, and the number of errors (x) was recorded for each applicant. The graph above shows how many applicants made x…
- Type Tables, charts and graphs
- NYS standards 6.SP.4, 6.SP.5a
- Difficulty 1 of 5
- Level Below grade 7
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Last week, Emily rode the bus
Last week, Emily rode the bus to school on 3 of the 5 mornings and rode the bus home on 4 of the 5 afternoons. Based on last week’s events,…
- Type Probability
- NYS standards 7.SP.8a, 6.SP.8b
- Difficulty 3 of 5
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XYZ Corporation hired 6 people
XYZ Corporation hired 6 people as summer workers. Of these 6 people, 3 will be hired as permanent employees in the fall. If 2 of the 6 people are male,…
- Type Counting and arrangements
- NYS standards 7.SP.8b
- Difficulty 4 of 5
- Level Above grade 7
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At any given time
At any given time, one person out of every 20 people has the common cold. Assume that the common cold can be caused by any one of 200 different viruses,…
- Type Probability
- NYS standards 7.SP.8a, 6.SP.8a
- Difficulty 3 of 5
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Karl has one red spinner
Karl has one red spinner and one blue spinner. Each spinner is divided into 4 equal sections, numbered 1 through 4. He spins each spinner once and writes down the…
- Type Probability
- NYS standards 7.SP.8a, 7.SP.8b
- Difficulty 3 of 5
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Melissa has a bag of marbles
Melissa has a bag of marbles that are all the same size. The bag contains three red (R) marbles, three green (G) marbles, and two white (W) marbles. For an…
- Type Counting and arrangements
- NYS standards 7.SP.8b
- Difficulty 3 of 5
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A graph shows the relationship
A graph shows the relationship between the number of gallons of water, y, that has been added to a tank and the number of hours, x, that water has been…
- Type Proportions and scale
- NYS standards 7.RP.2d, 6.EE.9
- Difficulty 2 of 5
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The table shows the probabilities
The table shows the probabilities of a hockey team scoring different numbers of goals in a game. HOCKEY GOAL PROBABILITIES Number of Goals Probability 0 0.16 1 0.21 2 0.29…
- Type Probability
- NYS standards 6.SP.8, 6.NS.3
- Difficulty 1 of 5
- Level Below grade 7
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This graph shows points
This graph shows points that represent a proportional relationship between x and y. What is the constant of proportionality for this relationship?
- Type Proportions and scale
- NYS standards 7.RP.2b, 7.RP.2d
- Difficulty 1 of 5
- Level Below grade 7
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The distance an eagle flies
The distance an eagle flies is proportional to the time the eagle spends flying. An eagle flies 90 miles in 3 hours. What is the constant of proportionality for this…
- Type Proportions and scale
- NYS standards 7.RP.2b
- Difficulty 1 of 5
- Level Below grade 7
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A machine part
A machine part is supposed to be 0.38 millimeters thick. The manufacturer allows a variation of −2.5% to +2.5%. Which interval shows the range of acceptable thicknesses, in millimeters, for…
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A bakery charges $1.25 for each cupcake
A bakery charges $1.25 for each cupcake and $2.50 for a serving tray. The equation describes p, the price of c cupcakes and a serving tray, not including tax. p…
- Type Linear equations
- NYS standards 7.EE.4a, 6.EE.2c
- Difficulty 2 of 5
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A clothing store buys shirts
A clothing store buys shirts for a cost of m dollars each. To determine the selling price of the shirts, the manager increases the purchase cost by 55%. Which expression…
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A farmer has 100 apples
A farmer has 100 apples and will eat 2 apples per day. Is there a proportional relationship between the number of apples remaining and the number of days that have…
- Type Proportions and scale
- NYS standards 7.RP.2a, 7.RP.2d
- Difficulty 3 of 5
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What shape will result from a horizontal slice
What shape will result from a horizontal slice of the figure above?
- Type Volume and surface area
- NYS standards 7.G.3
- Difficulty 1 of 5
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Anise has a piece of cloth
Anise has a piece of cloth measuring 45 inches by 75 inches. She wants to cut it into squares of equal size, without any cloth left over. What is the…
- Type Number properties
- NYS standards 6.NS.4
- Difficulty 2 of 5
- Level Below grade 7
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This table shows the number of birds
This table shows the number of birds that came to a bird feeder on Monday and Tuesday. BIRDS AT BIRD FEEDER Day Number of Birds Monday 30 Tuesday 24 What…
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A team is participating in a contest
A team is participating in a contest to collect canned goods for a food drive. The team has 53 points and must have a total of at least 100 points…
- Type Inequalities
- NYS standards 7.EE.4b, 6.EE.8
- Difficulty 2 of 5
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A store manager purchases a piece of furniture
A store manager purchases a piece of furniture for $456.00. To determine the selling price, the manager increases the purchase cost by 125%. A customer buys the furniture and pays…