2023 Test B Math
Practice questions from 2023 Test B Math, with an explanation of every answer.
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LAST YEAR’S TOTAL SALES
LAST YEAR’S TOTAL SALES Vehicles Number Four-door cars 5,850 Two-door cars 2,250 Trucks 900 Total 9,000 The table above shows the number of each type of vehicle sold at a…
- Type Proportions and scale
- NYS standards 6.RP.3, 6.SP.7
- Difficulty 2 of 5
- Level Below grade 7
- Format Grid-in
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In a scale drawing of a rectangular garden
In a scale drawing of a rectangular garden, the length is 15 inches and the width is 9 inches. In the drawing, 2 inches represents 3 yards. What is the…
- Type Proportions and scale
- NYS standards 7.G.1, 7.RP.2b
- Difficulty 2 of 5
- Format Grid-in
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A kindergarten teacher has 72 crayons
A kindergarten teacher has 72 crayons, 60 pencils, and 84 sheets of paper to distribute to the children in her class. If each child receives an equal number of each…
- Type Number properties
- NYS standards 6.NS.4
- Difficulty 2 of 5
- Level Below grade 7
- Format Grid-in
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Mr. Smith opened a retirement account
Mr. Smith opened a retirement account with a deposit of $900. This account earns 5% simple interest annually. How many years will it take for his $900 deposit to earn…
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Solve (21)(14)x/((49)(48)) = 0.875
Solve the equation for x: (21)(14)x/(49)(48) = 0.875
- Type Fractions and decimals, Linear equations
- NYS standards 7.EE.3, 7.NS.2c, 6.EE.7
- Difficulty 3 of 5
- Format Grid-in
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3 1/4 − 1 2/3 − (−4 1/2)
What is the value of 3 1/4 – 1 2/3 – (-4 1/2)?
- Type Fractions and decimals, Arithmetic and order of operations
- NYS standards 7.NS.1c, 7.NS.1d
- Difficulty 3 of 5
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On Fran’s map
On Fran’s map, 2 centimeters represents 3 kilometers. The points on this map that represent Fran’s home and Bryant State Park are 4.5 centimeters apart. How many kilometers apart are…
- Type Proportions and scale
- NYS standards 7.G.1, 7.RP.2b
- Difficulty 2 of 5
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Solve for x in terms of y
Solve for x in terms of y if 2x + 4 = y.
- Type Linear equations
- NYS standards 8.EE.7b, 7.EE.4a
- Difficulty 2 of 5
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Bryan completed a 100-meter race
Bryan completed a 100-meter race in 11.74 seconds. Luis completed the same race in 11.69 seconds. What was the difference between their times, expressed as a fraction of a second?
- Type Fractions and decimals
- NYS standards 6.NS.3
- Difficulty 1 of 5
- Level Below grade 7
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A total of 24 students in a math class
A total of 24 students in a math class took a 100-point test: None of the students scored 100 points. 75% of the students scored less than 82 points. The…
- Type Tables, charts and graphs
- NYS standards 7.SP.1
- Difficulty 3 of 5
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n = 0.13 + 207/100
n = 0.13 + 207/100 What is the value of n expressed as a fraction?
- Type Fractions and decimals
- NYS standards 6.NS.3
- Difficulty 1 of 5
- Level Below grade 7
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The perimeter of a 12-sided polygon
The perimeter of a 12-sided polygon is 100 centimeters. The length of one side is 25 centimeters. The length of another side is 35 centimeters. The remaining sides are equal…
- Type Area and perimeter
- NYS standards 7.EE.4a
- Difficulty 2 of 5
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Shiow-Chen has a box
Shiow-Chen has a box that contains 4 green cards, 7 yellow cards, and 6 red cards. She randomly draws one card at a time from the box and does not…
- Type Probability
- NYS standards 6.SP.8a
- Difficulty 3 of 5
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Each number in a sequence
Each number in a sequence is 3 more than twice the number that comes just before it. If 93 is a number in the sequence, what number comes just before…
- Type Patterns and sequences
- NYS standards 7.EE.4a, 6.EE.2c
- Difficulty 3 of 5
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On a map, the distance
On a map, the distance between Deshawn’s house and Xin’s house is 5.4 inches. If 2 inches on the map represents 3 miles, what is the distance between these two…
- Type Proportions and scale
- NYS standards 7.G.1, 7.RP.2b
- Difficulty 2 of 5
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This wheel has 15 spokes
This wheel has 15 spokes, equally spaced. What is the measure of the angle between adjacent spokes?
- Type Angles and lines
- NYS standards 7.G.5
- Difficulty 1 of 5
- Level Below grade 7
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m • t = 72
m t = 72 For the equation above, what is the sum of the values of m when t = 1, when t = 2, and when t = 3?
- Type Linear equations
- NYS standards 6.EE.7, 6.EE.2c
- Difficulty 2 of 5
- Level Below grade 7
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The diagram above shows a rectangle
The diagram above shows a rectangle with an inscribed triangle. The triangle’s vertex and base touch the sides of the rectangle as shown. What is the total area of the…
- Type Area and perimeter
- NYS standards 6.G.1
- Difficulty 3 of 5
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Orange juice costs $2 per gallon
Orange juice costs $2 per gallon, and grapefruit juice costs $3 per gallon. A recent shipment of equal amounts of the two types of juice costs a total of $250.…
- Type Linear equations
- NYS standards 7.EE.4a, 7.EE.1
- Difficulty 2 of 5
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Five consecutive numbers have a sum of 110
Five consecutive numbers have a sum of 110. What is the least of these consecutive numbers?
- Type Number properties
- NYS standards 7.EE.4a, 7.EE.1
- Difficulty 2 of 5
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If m and n are positive integers
-mn (-m)(-n) |mn| |-mn| |(-m)(-n)| If m and n are positive integers, how many of the five expressions above are equivalent to mn?
- Type Arithmetic and order of operations, Number line and absolute value
- NYS standards 7.NS.2a, 6.NS.7c
- Difficulty 3 of 5
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A vendor is selling 10 packages
A vendor is selling 10 packages of homemade fudge at a bake sale. The vendor weighed and labeled each package. The package weights are given in ounces: 4.6 6.0 3.8…
- Type Tables, charts and graphs, Mean, median, mode and range
- NYS standards 7.SP.1, 6.SP.5c
- Difficulty 4 of 5
- Level Above grade 7
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FRUIT SOLD AT STORE XYZ
FRUIT SOLD AT STORE XYZ Fruit Number Sold Apples 8 Bananas 6 Cherries 12 Oranges 6 Peaches? Total 50 Peaches made up what percentage of the total number of pieces…
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A prism is made up of 9 congruent cubes
A prism is made up of 9 congruent cubes. Each of the cubes has side lengths measuring 4 units. What is the volume, in cubic units, of the prism?
- Type Volume and surface area
- NYS standards 6.G.2, 6.G.5
- Difficulty 1 of 5
- Level Below grade 7
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The town of Waterville
The town of Waterville covers an area of 50 square miles. In 2005, its population was 84,000. In 2006, its population had decreased so that the average population per square…
- Type Rates and speed
- NYS standards 6.RP.3b
- Difficulty 2 of 5
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The box plot below
The box plot below represents a set of data. What is the interquartile range of the set of data?
- Type Mean, median, mode and range, Tables, charts and graphs
- NYS standards 7.SP.1
- Difficulty 2 of 5
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N = {6, 7, …, 21, 22}
N = {6, 7,, 21, 22} Set L (not shown) is a list of 25 consecutive integers. The median of the integers in set N above is equal to the…
- Type Mean, median, mode and range, Number properties
- NYS standards 6.SP.5c
- Difficulty 4 of 5
- Level Above grade 7
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The sum of the numbers x, y, and z
The sum of the numbers x, y, and z is 40. The ratio of x to y is 1:2, and the ratio of y to z is 2:5. What is…
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Which number could be the sum
Which number could be the sum of 4 consecutive integers?
- Type Number properties
- NYS standards 7.EE.2, 7.EE.4a
- Difficulty 3 of 5
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PRICE OF A USED VIDEO GAME AT VARIOUS STORES
PRICE OF A USED VIDEO GAME AT VARIOUS STORES Price of Used Video Game Number of Stores $10.99 5 $11.99 2 $12.99 1 $13.99 4 The table above shows the…
- Type Mean, median, mode and range
- NYS standards 6.SP.5c, 6.SP.5a
- Difficulty 2 of 5
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If xy = 30
If xy=30, what is the value of 10÷ x in terms of y?
- Type Algebraic expressions
- NYS standards 7.EE.2, 6.NS.1, 6.EE.7
- Difficulty 3 of 5
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On the number line above
On the number line above, how many units longer is QR than PQ?
- Type Number line and absolute value, Fractions and decimals
- NYS standards 7.NS.1c, 6.NS.6c
- Difficulty 2 of 5
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The distance from W to X
The distance from W to X is 70% of the distance from W to Y. If the distance from X to Y is 15 miles, what is the distance, in…
- Type Percents, Number line and absolute value
- NYS standards 7.RP.3, 6.RP.3c
- Difficulty 3 of 5
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There are 3 different highways
There are 3 different highways from City W to City X, 4 different highways from City X to City Y, and 3 different highways from City Y to City Z.…
- Type Counting and arrangements
- NYS standards 7.SP.8b
- Difficulty 1 of 5
- Level Below grade 7
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In Center City
In Center City, the ratio of people to dogs is 4:1, and the ratio of dogs to cats is 3:2. What is the ratio of people to cats?
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The side length of square S
The side length of square S is shorter than the side length of square T by 1 centimeter. The area of square S is 9 square centimeters. What is the…
- Type Area and perimeter
- NYS standards 6.G.5, 6.EE.1
- Difficulty 2 of 5
- Level Below grade 7
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Which expression is equivalent
Which expression is equivalent to 1/2x+7-(x-9/2)?
- Type Algebraic expressions
- NYS standards 7.EE.1
- Difficulty 4 of 5
- Level Above grade 7
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How is 1/x − 1/(2x) written
How is 1/x-1/2x written as a single fraction? (Assume x≠ 0.)
- Type Algebraic expressions
- NYS standards 7.EE.1, 7.EE.2
- Difficulty 2 of 5
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In a certain competition
In a certain competition, 1 person finished in first place, 5 people tied for second place, 10 people tied for third place, and the other 4,984 people did not place.…
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Angle A and angle B are complementary
Angle A and angle B are complementary. If the measure of angle B is three times as great as the measure of angle A, what is the measure of angle…
- Type Angles and lines
- NYS standards 7.G.5, 7.EE.4a
- Difficulty 2 of 5
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The height of a tree in 2013
The height of a tree in 2013 is 300% of the height it was in 2003. By what percentage did its height increase over this ten-year period?
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1 gallon = 16 cups
1 gallon = 16 cups 1 cup = 8 fluid ounces If 1 gallon = 2^x fluid ounces, what is the value of x?
- Type Unit conversion, Exponents and roots
- NYS standards 6.RP.3d, 6.EE.1
- Difficulty 2 of 5
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A certain square puzzle
A certain square puzzle has an area of 64 square inches, and a cubic block has a volume of 64 cubic inches. What is the ratio of the length of…
- Type Exponents and roots, Volume and surface area
- NYS standards 8.EE.2, 6.G.5, 6.RP.1
- Difficulty 3 of 5
- Level Above grade 7
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In a certain class
In a certain class, Rosa will take a total of 4 tests. She has already taken 2 of the tests and earned scores of 81 and 83. What is the…
- Type Mean, median, mode and range
- NYS standards 6.SP.5c, 6.EE.8
- Difficulty 4 of 5
- Level Above grade 7
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The Barnes family and the Ramirez family
The Barnes family and the Ramirez family each have a pizza of equal size. The first pizza is cut into 18 equal slices, and the second pizza is cut into…
- Type Inequalities, Fractions and decimals
- NYS standards 7.EE.4b, 6.RP.3
- Difficulty 4 of 5
- Level Above grade 7
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0³ + 4⁰ + 2⁻¹ + (−1)²
0^3+4^0+2^-1+(-1)^2 What is the value of the expression above, in decimal form?
- Type Exponents and roots
- NYS standards 8.EE.1, 7.NS.2a
- Difficulty 4 of 5
- Level Above grade 7
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Four slips of paper
Four slips of paper numbered 1, 2, 3, and 4 were placed in a bag: One slip was selected from the bag, and the number recorded. Without replacement, a second…
- Type Counting and arrangements
- NYS standards 7.SP.8b
- Difficulty 1 of 5
- Level Below grade 7
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The outdoor temperature was 4.2° F
The outdoor temperature was 4.2° F at 10 p.m. After 3 1/2 hours, the outdoor temperature was −0.7° F. Which value best represents the average change in temperature per hour?
- Type Arithmetic and order of operations, Rates and speed
- NYS standards 7.NS.3, 7.NS.1c, 7.NS.2b
- Difficulty 3 of 5
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A rectangular swimming pool
A rectangular swimming pool of uniform depth is 20 yards long and 14 yards wide. If the water is 6 feet deep, what is the volume of water in the…
- 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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{3, 4, 5, 6, 7}
{3, 4, 5, 6, 7} A student made a list of all possible products of 2 different numbers in the set above. What fraction of the products are odd?
- Type Number properties, Counting and arrangements
- NYS standards 7.SP.8b, 7.SP.8a
- Difficulty 3 of 5
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A number, n, is divided by 25
A number, n, is divided by 25. If the quotient is 10 with a remainder of 5, what is the quotient expressed as a decimal?
- Type Fractions and decimals, Number properties
- NYS standards 6.NS.2, 6.NS.3
- Difficulty 2 of 5
- Level Below grade 7
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The garden design shown above
The garden design shown above is created in the shape of three semicircles whose diameters lie on the sides of an equilateral triangle. If each diameter is 2 meters long,…
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Micha is playing a game
Micha is playing a game with five cards numbered 1 through 5. He will place the cards in a bag and draw one card at random three times, replacing the…
- Type Probability
- NYS standards 7.SP.8a, 7.SP.8b
- Difficulty 2 of 5
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The speed 10 meters per second
The speed 10 meters per second is equivalent to how many feet per hour? (Use the approximation 1 foot = 0.3 meter.)
- Type Unit conversion
- NYS standards 6.RP.3d, 6.NS.3
- Difficulty 4 of 5
- Level Above grade 7
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6.3̅4̅ − 4.1̅2̅
6.34-4.12 What is the value of the expression above, written as an improper fraction?
- Type Fractions and decimals
- NYS standards 8.NS.1, 7.NS.2d
- Difficulty 3 of 5
- Level Above grade 7
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Lines s and t intersect
Lines s and t intersect at point P (3, 5). What is the area, in square units, of the shaded region in the graph above?
- Type Area and perimeter, Coordinate plane
- NYS standards 6.G.1, 6.G.3
- Difficulty 3 of 5
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A box contains 14 red marbles
A box contains 14 red marbles, 10 black marbles, and 16 white marbles. How many more white marbles need to be added to the box so that the probability of…
- Type Probability, Linear equations
- NYS standards 6.SP.8a, 7.RP.3
- Difficulty 4 of 5
- Level Above grade 7