2026 Practice Test C Math
Practice questions from 2026 Practice Test C Math, with an explanation of every answer.
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What is the prime factorization of 756
What is the prime factorization of 756?
- Type Number properties
- NYS standards 6.NS.4, 6.EE.1
- Difficulty 2 of 5
- Level Below grade 7
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If (8 ÷ m) + 4 = 20
If (8 ÷ m) + 4 = 20, what is the value of m?
- Type Linear equations
- NYS standards 7.EE.4a, 7.NS.2b
- Difficulty 2 of 5
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Solve 6x = x − 1,680
6x = x – 1,680 What is the value of x in the equation shown above?
- Type Linear equations
- NYS standards 8.EE.7b, 7.NS.2b
- Difficulty 2 of 5
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A person buys a used car
A person buys a used car with a down payment of $1,200 and makes monthly payments of $275 for 3 years. What is the total amount the person pays for…
- Type Arithmetic and order of operations
- NYS standards 6.EE.2c, 6.RP.3d
- Difficulty 1 of 5
- Level Below grade 7
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Maya read n pages
Maya read n pages for her English homework. Trevor read three times as many pages as Maya. Together, Maya and Trevor read 12 more pages than Ali read. Write an…
- Type Algebraic expressions
- NYS standards 6.EE.6, 6.EE.2a, 6.EE.3
- Difficulty 3 of 5
- Format Equation editor
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In the parallelogram above
In the parallelogram above, what is the value of x?
- Type Angles and lines
- NYS standards 7.G.5, 8.G.5
- Difficulty 2 of 5
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For what values of x is −12 > 6x
-12 > 6x For what values of x is the above inequality true?
- Type Inequalities
- NYS standards 7.EE.4b, 6.NS.7a
- Difficulty 2 of 5
- Level Below grade 7
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Jordan is helping plan snacks
Jordan is helping plan snacks for a school dance. He knows that 0.75 of the students voted for pizza, and he wants to record the same amount using a fraction.…
- Type Fractions and decimals
- NYS standards 7.NS.2d
- Difficulty 2 of 5
- Level Below grade 7
- Format Multiple response
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Maria rides her bicycle to school
Maria rides her bicycle to school at a constant speed of 15 miles per hour. If the distance to school is 6 miles, how many minutes will it take Maria…
- Type Rates and speed
- NYS standards 6.RP.3b, 6.RP.3d
- Difficulty 2 of 5
- Level Below grade 7
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In the figure above, n ∥ p
In the figure above, n p. Straight line m intersects both line n and line p. What is the value of r?
- Type Angles and lines
- NYS standards 8.G.5, 7.G.5
- Difficulty 4 of 5
- Level Above grade 7
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Allison has 5 stamp albums
Allison has 5 stamp albums with 576 stamps in each album. If she transfers her stamp collection to 6 albums, each holding 378 stamps, how many stamps will be left…
- Type Arithmetic and order of operations
- NYS standards 7.EE.3, 7.NS.3
- Difficulty 2 of 5
- Level Below grade 7
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A spinner has 5 congruent sections
A spinner has 5 congruent sections labeled as shown. One side of a fair coin is heads, and the other side is tails. The spinner is spun one time, and…
- Type Probability
- NYS standards 7.SP.8a, 6.SP.6
- Difficulty 3 of 5
- Format Number line
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Start with the number 135.28
Start with the number 135.28 and perform the following steps in order: Step 1: Multiply by 10. Step 2: Add 0.5 to the result of Step 1. Step 3: Drop…
- Type Fractions and decimals
- NYS standards 6.NS.3
- Difficulty 2 of 5
- Level Below grade 7
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If x = −2
If x = -2, what is the value of |x + x^2 + x^3| – |x + 2x + 3x|?
- Type Algebraic expressions, Number line and absolute value
- NYS standards 7.NS.2a, 6.EE.2c, 6.NS.7c
- Difficulty 3 of 5
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A grocery store sells 1-gallon containers of milk
A grocery store sells 1-gallon containers of milk for $3.99. The store also sells orange juice in a 6-pack of 5.5-fluid-ounce bottles for $1.79. Suppose the store wants to sell…
- Type Proportions and scale, Unit conversion
- NYS standards 7.RP.3, 6.RP.3d
- Difficulty 4 of 5
- Level Above grade 7
- Format Grid-in
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(3 + (−3))/(3 − (−3))
3+(-3)/3-(-3) =
- Type Arithmetic and order of operations
- NYS standards 7.NS.1c, 7.NS.2b
- Difficulty 1 of 5
- Level Below grade 7
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What is the distance between the midpoints
What is the distance between the midpoints of MN and RS?
- Type Number line and absolute value
- NYS standards 7.NS.1c, 6.NS.6c
- Difficulty 2 of 5
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If s is a positive integer
I. s – t II. st^2 III. s^t If s is a positive integer and t is a negative integer, which of the above expressions must be a positive number?
- Type Arithmetic and order of operations, Exponents and roots
- NYS standards 8.EE.1, 7.NS.1c, 7.NS.2a
- Difficulty 4 of 5
- Level Above grade 7
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What is the value of (−3/4)(−2/5)
What is the value of (-3/4)(-2/5)?
- Type Fractions and decimals
- NYS standards 7.NS.2a, 7.NS.2c
- Difficulty 1 of 5
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Two circles, with centers at A and C
Two circles, with centers at A and C, are shown. Line segment AB is congruent to line segment DE. Determine the area, A, and the circumference, C, of each circle…
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In a fruit basket
In a fruit basket, the ratio of apples to oranges is the same as the ratio of cherries to walnuts. If there are 6 oranges, 16 cherries, and 48 walnuts,…
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During a hiking trip
During a hiking trip, a group of students recorded the elevation (in feet) at several points along the trail: -120 ft, -80 ft, 0 ft, 45 ft, -30 ft, 90…
- Type Arithmetic and order of operations, Number line and absolute value
- NYS standards 7.NS.1c, 6.NS.7b
- Difficulty 2 of 5
- Format Grid-in
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On parallelogram PQRS above
On parallelogram PQRS above, the length of QT is 18 centimeters. What is the area of the parallelogram?
- Type Area and perimeter
- NYS standards 6.G.1
- Difficulty 1 of 5
- Level Below grade 7
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In a showing of an artist’s works
In a showing of an artist’s works, the ratio of the number of paintings, drawings, and photographs shown is 3:5:4, respectively. If the number of drawings shown was 45, what…
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For each 3/8 foot of curtain width
For each 3/8 foot of curtain width, 5/6 yard of fabric is needed to make ruffles. How many yards of fabric are needed per foot of curtain width?
- Type Proportions and scale, Fractions and decimals
- NYS standards 7.RP.1, 6.NS.1
- Difficulty 3 of 5
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Which straight line is the graph
Which straight line is the graph of a proportional relationship?
- Type Proportions and scale
- NYS standards 7.RP.2a
- Difficulty 1 of 5
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Some friends are buying bags of ice
Some friends are buying bags of ice for a picnic. The graph shows the cost of the ice, in dollars, in relation to the weight, in pounds. Which statement about…
- Type Proportions and scale
- NYS standards 7.RP.2d, 7.RP.2b
- Difficulty 2 of 5
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If (z + 3w)/4 = 5w
If z+3w/4 = 5w, what is the value of z in terms of w? Enter your answer in the space provided. Enter only your answer.
- Type Linear equations
- NYS standards 8.EE.7b, 7.EE.4a
- Difficulty 3 of 5
- Level Above grade 7
- Format Equation editor
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A smoothie shop uses a consistent ratio
A smoothie shop uses a consistent ratio of fruit to yogurt in its recipes. The table shows the proportional relationship between the number of cups of fruit (x) and the…
- Type Proportions and scale
- NYS standards 7.RP.2b, 6.NS.3
- Difficulty 2 of 5
- Format Grid-in
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Out of 2,000 high school seniors
Out of 2,000 high school seniors, 191 were enrolled in the Honor Society. What percentage of the entire group of 2,000 seniors were in the Honor Society?
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NUMBER OF VISITORS TO BROOKSIDE ZOO
NUMBER OF VISITORS TO BROOKSIDE ZOO Male Female Children 360 340 Adults 210 290 The table above shows the number of people who visited Brookside Zoo in one day. The…
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Monthly high temperatures in New York
The box plot shows the average monthly high temperatures in New York City for 12 months. What is the difference between the range and the interquartile range of the temperature…
- Type Mean, median, mode and range, Tables, charts and graphs
- NYS standards 7.SP.1, 6.SP.5c
- Difficulty 4 of 5
- Level Above grade 7
- Format Grid-in
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A bag contains 40 tiles
A bag contains 40 tiles that are either red, green, or blue. A tile is selected at random, the color is recorded, and the tile is put back in the…
- Type Probability
- NYS standards 6.SP.7, 6.RP.3
- Difficulty 2 of 5
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A teacher will randomly select 3 students
A teacher will randomly select 3 students to be on a school committee. He will choose either a student from Classroom A or a student from Classroom B with each…
- Type Probability
- NYS standards 7.SP.8b, 7.SP.8a
- Difficulty 2 of 5
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If 4(a + 2b) = 28b + 2a
If 4(a + 2b) = 28b + 2a, what is the value of a in terms of b? Enter your answer in the space provided. Enter only your answer.
- Type Linear equations
- NYS standards 8.EE.7b, 7.EE.1
- Difficulty 4 of 5
- Level Above grade 7
- Format Equation editor
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A deck of 52 playing cards
A deck of 52 playing cards contains 13 hearts. Sara has 12 cards from this deck in her hand, 3 of which are hearts. The other cards remain in the…
- Type Probability
- NYS standards 6.SP.8a
- Difficulty 2 of 5
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Randomly picking each flavor of candy
The table shows the probability of randomly picking each flavor of candy from a bowl. PICKING CANDY FROM A BOWL Flavor Probability Butterscotch 0.57 Lemon 0.095 Maple 0.125 Strawberry 0.21…
- Type Probability
- NYS standards 6.SP.6, 6.NS.7
- Difficulty 1 of 5
- Level Below grade 7
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This formula can be used to determine p
This formula can be used to determine p, the number of pages that will be in a book that contains w words, with an average of r words per page,…
- Type Linear equations
- NYS standards 8.EE.7, 7.EE.4a
- Difficulty 3 of 5
- Level Above grade 7
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A shipment contains 170 small boxes
A shipment contains 170 small boxes of medical supplies. In a random sample of 20 of these boxes, 8 have damage and the others are undamaged. Based on this sample,…
- Type Proportions and scale
- NYS standards 7.RP.3, 6.SP.1b
- Difficulty 3 of 5
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In basketball, a player can earn 1 point
In basketball, a player can earn 1 point for making a free throw and 2 points for making another basket. Marcus makes a mean of 8 free throws per game,…
- Type Inequalities
- NYS standards 7.EE.4b
- Difficulty 2 of 5
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Elijah is at the school bookstore
Elijah is at the school bookstore. He wants to buy a water bottle for $12.50 and some notebooks that cost $4.75 each. He has at most $35.00 to spend. Write…
- Type Inequalities
- NYS standards 7.EE.4b, 6.EE.8
- Difficulty 2 of 5
- Format Equation editor
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Tariq is making a clay block
Tariq is making a clay block in the shape of a cube with a side length of 20 cm. He hollows out the center by removing clay to form a…
- Type Volume and surface area
- NYS standards 7.G.6, 6.G.2
- Difficulty 2 of 5
- Format Grid-in
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A softball player bought bottles of water
A softball player bought bottles of water for her team to have at practice. The total number of bottles she bought, b, is proportional to n, the number of players…
- Type Proportions and scale
- NYS standards 7.RP.2c
- Difficulty 1 of 5
- Level Below grade 7
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A smartphone screen 72 millimeters wide
A smartphone screen is designed to be 72 millimeters wide. The quality control team allows for a variation of 4% in the width. Select the minimum and maximum screen widths…
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Malik earns $10 per hour
Malik earns $10 per hour at his job. He wants to change to a job that will pay $12 per hour. What will be the percent increase in Malik’s hourly…
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A rain gauge shows 10 centimeters of rain
A rain gauge shows that 10 centimeters of rain fell yesterday. If 1 inch is equal to approximately 2.5 centimeters, about how many inches of rain fell yesterday?
- Type Unit conversion
- NYS standards 6.RP.3d
- Difficulty 1 of 5
- Level Below grade 7
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The height of a plant
The height of a plant, in millimeters, is proportional to the number of days the plant has grown. The plant has grown 20 millimeters in 8 days. What is the…
- Type Proportions and scale
- NYS standards 7.RP.2b, 6.RP.3b
- Difficulty 1 of 5
- Level Below grade 7
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Which table shows a proportional relationship
Which table shows a proportional relationship?
- Type Proportions and scale
- NYS standards 7.RP.2a, 7.RP.2b
- Difficulty 2 of 5
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Hours eighth-grade students spend on screens
The box plot illustrates the number of hours eighth-grade students spend on screens during a typical week. What is the difference between the range and the interquartile range (IQR) of…
- Type Mean, median, mode and range, Tables, charts and graphs
- NYS standards 7.SP.1, 6.SP.5c
- Difficulty 2 of 5
- Format Fill the blanks
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Terry wants to pour cement
Terry wants to pour cement around the edge of the circular patio in her backyard. The patio has a radius of 5 feet. What is the distance, in feet, around…