2023 Test A Math
Practice questions from 2023 Test A Math, with an explanation of every answer.
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Ms. Li opened a retirement account
Ms. Li opened a retirement account with a deposit of $2,500. This account earns 4% simple interest annually. How many years will it take her to earn $500 on her…
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6 − 9 ÷ |−3| + (−2)³ × 1 1/2
6 – 9 ÷ |-3| + (-2)^3 × 1 1/2 What is the value of the expression shown above?
- Type Arithmetic and order of operations
- NYS standards 7.NS.2a, 6.EE.2c, 6.NS.7c
- Difficulty 3 of 5
- Format Grid-in
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Solve 7x + 3 − 2(2x + 1) = 13
Solve for x: 7x + 3 – 2(2x + 1) = 13
- Type Linear equations
- NYS standards 7.EE.4a, 7.EE.1
- Difficulty 2 of 5
- Format Grid-in
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In the figure above, line l is perpendicular
In the figure above, line l is perpendicular to line n. What is the value of x?
- Type Angles and lines
- NYS standards 8.G.5, 7.G.5
- Difficulty 3 of 5
- Level Above grade 7
- Format Grid-in
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The mean value of 8 numbers is 17
The mean value of 8 numbers is 17. Three of these numbers (9, 11, and 20) are discarded. What is the mean of the 5 remaining numbers?
- Type Mean, median, mode and range
- NYS standards 6.SP.5c, 6.NS.3
- Difficulty 3 of 5
- Format Grid-in
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3⁴ + 7⁴
3^4 + 7^4 =
- Type Exponents and roots
- NYS standards 6.EE.1
- Difficulty 2 of 5
- Level Below grade 7
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In one week, 1 3/4 inches of rain fell
In one week, 1 3/4 inches of rain fell on Monday, 2 2/3 inches fell on Tuesday, and 7/8 inch fell on Wednesday. How many inches of rain fell during…
- Type Fractions and decimals
- NYS standards 7.NS.3, 7.NS.1d
- Difficulty 2 of 5
- Level Below grade 7
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Jamel works at a computer store
Jamel works at a computer store. He is paid an hourly rate plus a 15% commission on all computer products he sells. Last week, Jamel was paid $802.50 for working…
- Type Percents, Rates and speed
- NYS standards 7.RP.3, 7.EE.4a
- Difficulty 3 of 5
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A revolving sign makes 1 complete revolution
A revolving sign makes 1 complete revolution every 90 minutes. If the sign starts moving at 2:30 p.m., at what time will the sign complete 8 revolutions?
- Type Proportions and scale
- NYS standards 6.RP.3b, 6.RP.3d
- Difficulty 2 of 5
- Level Below grade 7
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Points Y and Z are not shown
Points Y and Z are not shown on the number line above. If X is the midpoint of WY, and Y is the midpoint of WZ, where on the number…
- Type Number line and absolute value
- NYS standards 7.NS.1c, 6.NS.6c
- Difficulty 2 of 5
- Level Below grade 7
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81/10 = 9/n
81/10 = 9/n What value of n makes the equation above true?
- Type Proportions and scale
- NYS standards 6.EE.7, 6.RP.3
- Difficulty 2 of 5
- Level Below grade 7
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If n is an integer
If n is an integer and 3n + 3 is an even number, which expression must also represent an even number?
- Type Number properties
- NYS standards 7.EE.2, 6.NS.4
- Difficulty 3 of 5
- Level Above grade 7
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The product of two positive integers is 65
The product of two positive integers is 65. Which number could be the sum of the two integers?
- Type Number properties
- NYS standards 6.NS.4
- Difficulty 1 of 5
- Level Below grade 7
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If n is an odd integer
If n is an odd integer that is less than −3.25, what is the greatest possible value of n?
- Type Number line and absolute value, Number properties
- NYS standards 6.NS.7a, 6.NS.6c
- Difficulty 2 of 5
- Level Below grade 7
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A swim instructor used the box plot
A swim instructor used the box plot below to display the distribution of the ages of students who signed up for swim lessons. Which statement about the distribution of ages…
- Type Tables, charts and graphs
- NYS standards 7.SP.1, 6.SP.5c
- Difficulty 3 of 5
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Between which two consecutive integers
Between which two consecutive integers is the fraction 29/7?
- Type Fractions and decimals
- NYS standards 6.NS.6c, 6.NS.7a
- Difficulty 1 of 5
- Level Below grade 7
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A customer wants to buy a pair of hiking boots
A customer wants to buy a pair of hiking boots. The original price of the boots is $85.75. The store is offering a 15% discount on all boot purchases. The…
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Sheila is saving money for her summer vacation
Sheila is saving money for her summer vacation. She starts the summer with a balance of $90.00 and plans to save 15% of her earnings each week. She earns the…
- Type Linear equations, Percents
- NYS standards 7.EE.4a, 7.RP.3
- Difficulty 3 of 5
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x:35 = 20:28
x:35 = 20:28 For what value of x is the proportion shown above true?
- Type Proportions and scale
- NYS standards 6.RP.3, 6.EE.7
- Difficulty 1 of 5
- Level Below grade 7
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(3² + (−8)² + 2²)/(3 − 8 + 2)²
3^2 + (-8)^2 + 2^2(3 – 8 + 2)^2 =
- Type Arithmetic and order of operations
- NYS standards 7.NS.2a, 6.EE.2c, 7.NS.1c
- Difficulty 2 of 5
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A soccer coach purchased 15 pairs of cleats
A soccer coach purchased 15 pairs of cleats for team members and spent a total of $805.95, including tax. If the tax rate is 8%, what is the price of…
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The numbers m, n, p, and q are different
The numbers m, n, p, and q are different, and each is equal to one of the numbers 1, 2, 3, 6, or 12. If 2m = 6q = 1/2n…
- Type Linear equations
- NYS standards 6.EE.5, 6.EE.7
- Difficulty 3 of 5
- Level Above grade 7
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If a person chooses a number at random
{0.1, 0.01, 0.001, 0.0001, 0.00001} If a person chooses a number at random from the set above, what is the probability that the number is less than 0.005?
- Type Probability, Fractions and decimals
- NYS standards 6.SP.8a, 6.NS.7a
- Difficulty 2 of 5
- Level Below grade 7
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A student uses Spinner R and Spinner T
A student uses Spinner R and Spinner T to generate a list of two-digit numbers. Spinner R determines the digit in the tens place, and Spinner T determines the digit…
- Type Probability, Number properties
- NYS standards 7.SP.8b, 7.SP.8a
- Difficulty 4 of 5
- Level Above grade 7
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Lines j and k intersect at point Q
Lines j and k intersect at point Q, and h is a straight line. What is the value of x?
- Type Angles and lines
- NYS standards 8.G.5, 7.G.5
- Difficulty 4 of 5
- Level Above grade 7
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Which statement must be true
Which statement must be true if x is a whole number greater than or equal to 1?
- Type Fractions and decimals
- NYS standards 6.NS.7a, 6.EE.5
- Difficulty 3 of 5
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A basket contains red balls, green balls
A basket contains red balls, green balls, and white balls. There are 12 red balls in the basket. The probability of randomly choosing a red ball is 1 in 3.…
- Type Probability
- NYS standards 6.SP.8a, 6.RP.3
- Difficulty 2 of 5
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It took Lars 2 hours to ride his bicycle
It took Lars 2 hours to ride his bicycle 48 kilometers. What was his average speed in miles per hour? (Use the approximation 1 mile = 1.6 kilometers.)
- Type Rates and speed, Unit conversion
- NYS standards 6.RP.3d, 6.RP.3b
- Difficulty 2 of 5
- Level Below grade 7
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Integer x is evenly divisible by 3
Integer x is evenly divisible by 3. Which expression below is also evenly divisible by 3?
- Type Number properties
- NYS standards 7.EE.2, 6.NS.4
- Difficulty 2 of 5
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Lamel has a jar containing 6 red chips
Lamel has a jar containing 6 red chips, 10 blue chips, and 4 yellow chips. If he removes one chip at random, what is the probability that it will not…
- Type Probability
- NYS standards 6.SP.8a
- Difficulty 2 of 5
- Level Below grade 7
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The arrow starts on Space P
The arrow starts on Space P and moves clockwise around the circle. It moves through one space each minute. What space will the arrow point to in 100 minutes?
- Type Patterns and sequences
- NYS standards 6.NS.2
- Difficulty 2 of 5
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Mei-Ling is one of 6 members
Mei-Ling is one of 6 members of a committee. If 2 members of that committee are selected to go to a conference, how many of the possible pairs of members…
- Type Counting and arrangements
- NYS standards 7.SP.8b
- Difficulty 2 of 5
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If m = 5 and t = −1
If m = 5 and t = -1, what is the value of 6 – 8(2 – t)/2m + 4(3 – m)?
- Type Algebraic expressions
- NYS standards 6.EE.2c, 7.NS.3
- Difficulty 3 of 5
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In the parallelogram above
In the parallelogram above, what is the value of x + y?
- Type Angles and lines
- NYS standards 7.G.5, 8.G.5
- Difficulty 2 of 5
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On the number line above, point L
On the number line above, point L (not shown) is located on line segment JK so that JL = 2/3LK. What is the position of point L?
- Type Number line and absolute value, Linear equations
- NYS standards 7.RP.3, 7.NS.1c
- Difficulty 3 of 5
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Josef and Mai divided some stamps
Josef and Mai divided some stamps between themselves. Josef got 60% of the stamps. If Josef received 500 more stamps than Mai, how many stamps did Josef receive?
- Type Percents, Linear equations
- NYS standards 7.RP.3, 7.EE.4a
- Difficulty 4 of 5
- Level Above grade 7
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The shaded sector of the circle
The shaded sector of the circle shown above has an area of 18π square feet. What is the circumference of the circle?
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Which graph represents the solution
Which graph represents the solution to -3x – 7 > -4?
- Type Inequalities
- NYS standards 7.EE.4b, 6.EE.8
- Difficulty 3 of 5
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A scientist mixed three chemicals
A scientist mixed three chemicals, R, S, and T, in a glass container. The amount of R is 3 times the amount of S, and the amount of T is…
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Ken has k video games
Ken has k video games, and Jeff has j video games. If Ken gives 6 video games to Jeff, Ken will have twice as many video games as Jeff. Which…
- Type Two-variable problems
- NYS standards 7.EE.4, 6.EE.2a
- Difficulty 3 of 5
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Yesterday Sarah read 15% of her entire book
Yesterday Sarah read 15% of her entire book. Today she read another 17% of the entire book. In lowest terms, what fraction of the book is left for her to…
- Type Percents, Fractions and decimals
- NYS standards 7.EE.3, 6.RP.3c
- Difficulty 2 of 5
- Level Below grade 7
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How many members of the set shown
{1,2,3,4,5,,198,199,200} How many members of the set shown above are multiples of 6 but not multiples of 9?
- Type Number properties
- NYS standards 6.NS.4
- Difficulty 4 of 5
- Level Above grade 7
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Kim jogs 8 kilometers in 1 hour 40 minutes
Kim jogs 8 kilometers in 1 hour 40 minutes. At that rate, how many meters does she jog per minute?
- Type Rates and speed, Unit conversion
- NYS standards 6.RP.3d, 6.RP.3b
- Difficulty 2 of 5
- Level Below grade 7
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For what value of x is the equation
For what value of x is the equation x/5 – 4 = 3(4 – 2x) – 1 true?
- Type Linear equations
- NYS standards 8.EE.7b, 7.EE.1
- Difficulty 4 of 5
- Level Above grade 7
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The diagram above shows line segment RS
The diagram above shows line segment RS intersecting a rectangle. What is the measure of angle y?
- Type Angles and lines
- NYS standards 8.G.5, 7.G.5
- Difficulty 3 of 5
- Level Above grade 7
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ESSAY LENGTH
ESSAY LENGTH Number of Words Number of Essays 500 9 All 150 students in Grade 8 at a school are assigned to write an essay on the same topic. A…
- Type Proportions and scale
- NYS standards 6.SP.1b, 6.RP.3
- Difficulty 3 of 5
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Which percentage is closest in value
Which percentage is closest in value to 0.0099?
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The manager of a shipping company
The manager of a shipping company recorded the weights, in pounds, of the last 9 packages the company shipped. The manager displayed the distribution of the weights in a box…
- Type Tables, charts and graphs
- NYS standards 7.SP.1
- Difficulty 3 of 5
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In the figure above, the shaded rectangle
In the figure above, the shaded rectangle is similar to the outer rectangle. The length of the outer rectangle is 4 feet, and the perimeter of the outer rectangle is…
- Type Area and perimeter, Proportions and scale
- NYS standards 8.G.4, 7.G.1
- Difficulty 4 of 5
- Level Above grade 7
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A rectangular concrete driveway
A rectangular concrete driveway is 30 feet long, 8 feet wide, and 6 inches thick. What is the volume of the concrete?
- Type Volume and surface area, Unit conversion
- NYS standards 6.G.2, 6.RP.3d
- Difficulty 2 of 5
- Level Below grade 7
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At a carnival
At a carnival, visitors can win a prize if an employee cannot correctly guess their age. The employee records the first 15 ages that he guesses one Saturday. The box…
- Type Mean, median, mode and range, Tables, charts and graphs
- NYS standards 7.SP.1
- Difficulty 2 of 5
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Vicente and Carla each ran 8 laps
Vicente and Carla each ran 8 laps around a track. They started at the same time and place. If Vicente ran 1.5 times as fast as Carla, how many laps…
- Type Proportions and scale
- NYS standards 7.RP.3, 7.NS.3
- Difficulty 4 of 5
- Level Above grade 7
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At West College
At West College, students are randomly assigned to one of 20 dormitories and one of 6 dining rooms. Kharleen likes 6 of the dormitories and 2 of the dining rooms.…
- Type Probability
- NYS standards 7.SP.8a, 6.RP.3c
- Difficulty 3 of 5
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A train travels 2,200 miles
A train travels 2,200 miles from Phoenix to New York City. The train covers the first 240 miles in 5 hours. If the train continues to travel at this rate,…
- Type Rates and speed
- NYS standards 6.RP.3b, 6.NS.2
- Difficulty 3 of 5
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What is the least of four consecutive integers
What is the least of four consecutive integers whose sum is 58?
- Type Number properties
- NYS standards 7.EE.4a, 6.EE.6
- Difficulty 2 of 5
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If all possible values of x
If all possible values of x are indicated by the shaded part of the number line above, which number line best shows all possible values of 1/x?
- Type Fractions and decimals, Number line and absolute value
- NYS standards 6.NS.1, 6.NS.7a, 6.NS.6c
- Difficulty 4 of 5
- Level Above grade 7
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Chanelle selects a marble from a container
Chanelle selects a marble from a container and then returns it to the container. When she does this 3 times, the probability of choosing a red marble all 3 times…
- Type Probability, Exponents and roots
- NYS standards 7.SP.8a, 8.EE.2
- Difficulty 3 of 5
- Level Above grade 7