2021 Test B Math
Practice questions from 2021 Test B Math, with an explanation of every answer.
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How many 5-digit numbers
How many 5-digit numbers can be created using the digits 2, 3, 5, 7, and 8 without repeating any digits within that 5-digit number?
- Type Counting and arrangements
- NYS standards 7.SP.8b
- Difficulty 3 of 5
- Level Above grade 7
- Format Grid-in
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Solve (147 − x)/12 = 12
147-x/12=12 What is the value of x in the equation shown above?
- Type Linear equations
- NYS standards 7.EE.4a
- Difficulty 1 of 5
- Format Grid-in
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Evaluate |(−6) − (−5) + 4.2| − |3 − 9.6|
| (-6)-(-5)+4.2 |-| 3-9.6 |
- Type Number line and absolute value
- NYS standards 7.NS.1c, 6.NS.7c
- Difficulty 3 of 5
- Format Grid-in
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Tyler has completed 60 pages
Tyler has completed 60 pages in his French workbook. This is 20% of the total number of pages in the workbook. How many pages are in the workbook?
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Four straight lines intersect
Four straight lines intersect at point P as shown above. What is the value of y?
- Type Angles and lines
- NYS standards 7.G.5
- Difficulty 3 of 5
- Format Grid-in
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If x = 9 and y = −7
If x=9 and y=-7, what is the value of x(x-2y)?
- Type Algebraic expressions
- NYS standards 6.EE.2c, 7.NS.2a
- Difficulty 2 of 5
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In the figure above
In the figure above, PQRS is a parallelogram. The measure of ∠PQT is 50°, and the measure of ∠PTQ is 70°. What is the measure of ∠QRS?
- Type Angles and lines
- NYS standards 8.G.5, 7.G.5
- Difficulty 3 of 5
- Level Above grade 7
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M = 3N = P/4 = Q + 5 = R/7 > 0
M=3N=P/4=Q+5=R/7> 0 Based on the statement above, which variable has the greatest value?
- Type Linear equations
- NYS standards 7.EE.2, 6.EE.7
- Difficulty 4 of 5
- Level Above grade 7
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DESSERT CHOICES
DESSERT CHOICES Dessert Number of Times Ordered Cookies 42 Pie 23 Cake 47 Ice Cream 48 The table above shows the number of times that different desserts were ordered at…
- Type Probability
- NYS standards 6.SP.8b, 6.RP.3c
- Difficulty 1 of 5
- Level Below grade 7
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To make party invitations
To make party invitations, Macie could buy a package of paper for $10.50, or she could buy x individual sheets of the same paper for $0.15 each. What is the…
- Type Inequalities
- NYS standards 7.EE.4b, 6.NS.3
- Difficulty 3 of 5
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At 1:00 p.m. one day
At 1:00 p.m. one day, the temperature was 8 degrees above zero. During the rest of the day, the temperature fell 3 degrees per hour. What was the temperature at…
- Type Arithmetic and order of operations
- NYS standards 7.NS.3, 7.NS.1b
- Difficulty 2 of 5
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A bag contains 75 marbles
A bag contains 75 marbles that are red, blue, or green. The ratio of red to blue marbles is 15:7, and the ratio of blue to green marbles is 7:3.…
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A roofing contractor uses shingles
A roofing contractor uses shingles at a rate of 3 bundles for every 96 square feet of roof covered. At this rate, how many bundles of shingles will he need…
- Type Proportions and scale
- NYS standards 6.RP.3b
- Difficulty 2 of 5
- Level Below grade 7
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What is the least common multiple
What is the least common multiple of 24, 6, and 18?
- Type Number properties
- NYS standards 6.NS.4
- Difficulty 2 of 5
- Level Below grade 7
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One day, the Early Bird Restaurant
One day, the Early Bird Restaurant used 15 dozen eggs for 200 breakfast customers. At this rate, approximately how many dozen eggs are needed for 300 breakfast customers?
- Type Proportions and scale
- NYS standards 6.RP.3b
- Difficulty 2 of 5
- Level Below grade 7
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A cooler contains three types of beverages
A cooler contains three types of beverages: 5 bottles of apple juice, 3 bottles of grape juice, and 6 bottles of orange juice. What is the probability that a bottle…
- Type Probability
- NYS standards 6.SP.8a
- Difficulty 2 of 5
- Level Below grade 7
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A large circular dinner plate
A large circular dinner plate has a radius of 20 centimeters. A smaller circular plate with a circumference of 20π centimeters is placed in the center of the larger dinner…
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PRICES FOR NEWSPAPER ADVERTISING
PRICES FOR NEWSPAPER ADVERTISING Page Space Price 1/4 page $200 1/2 page $350 full page $600 The table above shows prices for newspaper advertising. A store purchased 1/4 pages, 1/2…
- Type Linear equations
- NYS standards 7.EE.4a, 7.NS.3
- Difficulty 4 of 5
- Level Above grade 7
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How many positive odd numbers
How many positive odd numbers satisfy the inequality 3x+8≤ 92?
- Type Inequalities, Number properties
- NYS standards 7.EE.4b, 6.EE.5
- Difficulty 3 of 5
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If 36/y = 4x, what is x when y = 3
If 36/y=4x, what is the value of x when y=3?
- Type Linear equations
- NYS standards 6.EE.7, 6.EE.2c
- Difficulty 1 of 5
- Level Below grade 7
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Points X, Y, and Z are on a straight line
Points X, Y, and Z are on a straight line, and Y is between X and Z. Length YZ=3/5XY, and length XY=20 centimeters. What is the length of XZ?
- Type Number line and absolute value
- NYS standards 7.NS.3
- Difficulty 2 of 5
- Level Below grade 7
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Bryana bought 1 3/4 yards of cloth
Bryana bought 1 3/4 yards of cloth at $8.00 per yard. If there was an 8% sales tax, what was the total cost of the cloth?
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On the number line above
On the number line above, MN=5 5/6. What is the position of point M?
- Type Number line and absolute value, Fractions and decimals
- NYS standards 7.NS.1c, 6.NS.6c
- Difficulty 3 of 5
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A United States presidential coin
A United States presidential coin is made from an alloy of four metals—copper, zinc, manganese, and nickel—with weights in the ratio of 177:12:7:4, respectively. The coin weighs a total of…
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Jack scored a mean of 15 points
Jack scored a mean of 15 points per game in his first 3 basketball games. In his 4th game, he scored 27 points. What is his mean score for the…
- Type Mean, median, mode and range
- NYS standards 6.SP.5c
- Difficulty 3 of 5
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A cylindrical oil drum can hold
A cylindrical oil drum can hold 4,320 liters when it is completely full. Currently, the drum is 1/3 full of oil. How many kiloliters of oil need to be added…
- Type Fractions and decimals, Unit conversion
- NYS standards 7.NS.3, 6.RP.3d
- Difficulty 3 of 5
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Nicole’s age now is three times
Nicole’s age now is three times Carmen’s age. If Carmen will be 17 in two years, how old was Nicole 5 years ago?
- Type Two-variable problems
- NYS standards 7.EE.4, 6.EE.7
- Difficulty 2 of 5
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A chemical decays
A chemical decays in such a way that the amount left at the end of each week is 20% less than the amount at the beginning of that same week.…
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If w − 1 is an odd integer
If w-1 is an odd integer, which one of the following must be an even integer?
- Type Number properties
- NYS standards 7.EE.2, 6.NS.4
- Difficulty 3 of 5
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Three students stand at the starting line
Three students stand at the starting line of a running track and begin running laps at the same time. Ann completes 1 lap every 2 minutes, Jack completes 1 lap…
- Type Number properties
- NYS standards 6.NS.4
- Difficulty 3 of 5
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Simplify 4(7 − 3x) − (5 − x)
Simplify this expression: 4(7-3x)-(5-x)
- Type Algebraic expressions
- NYS standards 7.EE.1
- Difficulty 2 of 5
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PET SURVEY
PET SURVEY Number of Pets Number of Students 0 12 1 16 2 7 3 or more 5 Amy surveyed students at her school about the number of pets they…
- Type Probability
- NYS standards 6.SP.8a, 6.SP.5a
- Difficulty 2 of 5
- Level Below grade 7
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A large container is partially filled with n liters of water
A large container is partially filled with n liters of water. Ito adds 10 liters of water to the container, making it 60% full. If Ignacio adds 6 more liters…
- Type Two-variable problems, Percents
- NYS standards 7.RP.3, 7.EE.4a
- Difficulty 4 of 5
- Level Above grade 7
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If x = 10, what is 5x³ + 3x + 9 + 1/x²
5x^3+3x+9+1x^2 If x=10, what is the value of the expression above?
- Type Algebraic expressions
- NYS standards 6.EE.2c, 6.EE.1
- Difficulty 2 of 5
- Level Below grade 7
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R, S, and T are midpoints of the sides of a square
R, S, and T are midpoints of the sides of square MNPQ, as shown above. What is the sum of the areas of the shaded triangles?
- Type Area and perimeter
- NYS standards 6.G.1
- Difficulty 2 of 5
- Level Below grade 7
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The Chens spend $5 of every $8
The Chens spend $5 of every $8 they earn on planned expenses. If the family earns $29,600 in one year, how much will they spend on planned expenses that year?
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A pizza shop offers a choice
A pizza shop offers a choice of 3 sizes (small, medium, and large) and 7 different toppings. Different pizzas can be created by changing the size and/or the choice of…
- Type Counting and arrangements
- NYS standards 7.SP.8b
- Difficulty 4 of 5
- Level Above grade 7
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SURVEY OF CATS PER FAMILY
SURVEY OF CATS PER FAMILY Number of Cats Number of Families 0 15 1 42 2 35 3 or more 8 The table above shows the number of cats per…
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A wooden box has a square base
A wooden box has a square base. The height of this box is 3 times the length of one side of the base. If one side of the base is…
- Type Volume and surface area
- NYS standards 6.G.2
- Difficulty 1 of 5
- Level Below grade 7
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On a bike trip, Rajiv traveled
On a bike trip, Rajiv traveled 65 kilometers in 5 hours, while Shaina traveled 72 kilometers in 4 hours. How much less was Rajiv’s mean speed, in kilometers per hour…
- Type Rates and speed
- NYS standards 6.RP.3b, 6.RP.2
- Difficulty 1 of 5
- Level Below grade 7
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Points P, Q, R, and S on a number line
Points P, Q, R, and S represent −3, −1, 0, and 2, respectively, on a number line. How many units is the midpoint of PQ from the midpoint of RS?
- Type Number line and absolute value
- NYS standards 7.NS.1c, 6.NS.6c
- Difficulty 2 of 5
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There are 1,000 cubic centimeters
There are 1,000 cubic centimeters in 1 liter, and 1,000 cubic millimeters in 1 milliliter. How many cubic millimeters are there in 1,000 cubic centimeters?
- Type Unit conversion
- NYS standards 6.RP.3d
- Difficulty 4 of 5
- Level Above grade 7
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In the quarter circle above, y in terms of x
In the quarter circle above, what is y in terms of x?
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The hash marks on the number line
The hash marks on the number line above are evenly spaced. What is the coordinate of point R?
- Type Number line and absolute value, Fractions and decimals
- NYS standards 7.NS.1c, 6.NS.6c, 7.NS.3
- Difficulty 4 of 5
- Level Above grade 7
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Phan chose an Internet service that charges
Phan chose an Internet service that charges $18.00 per month plus $0.024 per minute. Deion chose an Internet service that charges $30.00 per month for unlimited usage. At the end…
- Type Linear equations
- NYS standards 7.EE.4a
- Difficulty 2 of 5
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What is the area of the shaded triangle
What is the area of the shaded triangle shown above?
- Type Area and perimeter
- NYS standards 6.G.1, 6.EE.2a
- Difficulty 3 of 5
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The decimal 0.06 can be written as the fraction
The decimal 0.06 can be written as the fraction x/50. What is the value of x?
- Type Fractions and decimals
- NYS standards 6.NS.3
- Difficulty 1 of 5
- Level Below grade 7
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In a sample of 50 cars at a local dealership
In a sample of 50 cars at a local dealership, there are 12 red cars and 10 cars with backup cameras. Of the 12 red cars, 4 have backup cameras.…
- Type Probability, Counting and arrangements
- NYS standards 7.SP.8a, 7.SP.8b
- Difficulty 4 of 5
- Level Above grade 7
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ANIMAL CARDS
ANIMAL CARDS Number of Cards Picture on Card 8 cat 6 dog 5 bird 4 fish 1 horse The cards in the table above are mixed in a box. Which…
- Type Probability
- NYS standards 6.SP.8a
- Difficulty 1 of 5
- Level Below grade 7
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Number line for 2x − 2 ≤ y ≤ 4x + 10 when y = 1
Which number line below shows the solution set for 2x-2≤ y≤ 4x+10 when y=1?
- Type Inequalities
- NYS standards 7.EE.4b, 6.EE.5
- Difficulty 4 of 5
- Level Above grade 7
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In the equation 14/21 = p/7
14/21=p/7 In the equation above, what is the value of p?
- Type Proportions and scale
- NYS standards 6.EE.7, 6.RP.3
- Difficulty 2 of 5
- Level Below grade 7
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A ball is selected at random from a box
A ball is selected at random from a box that contains 7 black balls, 14 green balls, and 21 red balls. What is the probability that the ball selected is…
- Type Probability
- NYS standards 6.SP.8a
- Difficulty 1 of 5
- Level Below grade 7
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At North High School, a survey asked two questions
At North High School, a survey asked two questions, Question A and Question B. For each question, students could answer either “yes” or “no.” Of the 800 students who responded…
- Type Counting and arrangements
- NYS standards 7.SP.8b, 7.EE.4
- Difficulty 5 of 5
- Level Above grade 7
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Raoul is at least 3 years older than Vahn
Raoul is at least 3 years older than Vahn. Which of the following inequalities gives the relationship between Raoul’s age (r) and Vahn’s age (v)?
- Type Inequalities
- NYS standards 7.EE.4, 6.EE.8
- Difficulty 3 of 5
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1 sind = 5.6 ricks and 1 sind = 12.88 dalts
1 sind = 5.6 ricks 1 sind = 12.88 dalts Using the conversion above, how many dalts are equal to 1 rick?
- Type Unit conversion
- NYS standards 6.RP.3d, 6.NS.3
- Difficulty 3 of 5
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There are now x cans stacked on a shelf
There are now x cans stacked on a shelf that holds 36 cans when full. If 4 of these cans were removed, the shelf would be half full. What is…
- Type Linear equations
- NYS standards 6.EE.7
- Difficulty 1 of 5
- Level Below grade 7
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Carlos tossed a paper cup in the air 50
Carlos tossed a paper cup in the air 50 times and found that the probability of it landing on its side was 72%. If he tosses the cup in the…
- Type Probability, Percents
- NYS standards 6.SP.7, 6.RP.3c
- Difficulty 3 of 5