2020 Test A Math
Practice questions from 2020 Test A Math, with an explanation of every answer.
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Simplify −3.8 + 2.3 − (−1.1)
Simplify: -3.8 + 2.3 – (-1.1)
- Type Arithmetic and order of operations
- NYS standards 7.NS.1c, 7.NS.1b
- Difficulty 2 of 5
- Format Grid-in
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Angle M and angle R are supplementary
Angle M and angle R are supplementary. The measure of angle R is 5 times the measure of angle M. What is the measure of angle R, in degrees?
- Type Angles and lines
- NYS standards 7.G.5, 7.EE.4a
- Difficulty 2 of 5
- Format Grid-in
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A juice mixture contains
A juice mixture contains 3/16 gallon of apple juice and 3/40 gallon of cranberry juice. How many gallons of apple juice per gallon of cranberry juice does the mixture contain?…
- Type Proportions and scale, Fractions and decimals
- NYS standards 7.RP.1, 6.NS.1
- Difficulty 3 of 5
- Format Grid-in
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Mr. Chan’s lawn grows
Mr. Chan’s lawn grows 2 1/8 inches every 2 weeks. He mows his lawn every 2 weeks and cuts off the top 1 3/4 inches of lawn. If Mr. Chan’s…
- Type Fractions and decimals
- NYS standards 7.EE.3, 7.NS.3
- Difficulty 3 of 5
- Format Grid-in
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RESULTS FROM SURVEY OF 110 FAMILIES
RESULTS FROM SURVEY OF 110 FAMILIES Number of Children in the Family Number of Families 0 45 1 32 2 19 3 8 4 6 The table above shows the…
- Type Mean, median, mode and range
- NYS standards 6.SP.5c, 6.SP.5a
- Difficulty 4 of 5
- Level Above grade 7
- Format Grid-in
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Mr. Jones has 550 goats
Mr. Jones has 550 goats, which is 10% more than Mr. King has. How many more goats does Mr. Jones have than Mr. King?
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If 2y/x − y/(2x) = □/(2x)
If 2y/x – y/2x = /2x and x ≠ 0, what expression is represented by?
- Type Algebraic expressions
- NYS standards 7.EE.1, 7.EE.2
- Difficulty 2 of 5
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In the figure above, PQRS is a square
In the figure above, PQRS is a square. Point S is the center of the circle, and points P and R are on the circle. If the area of the…
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A list of consecutive integers
A list of consecutive integers begins with m and ends with n. If n – m = 66, how many integers are in the list?
- Type Number properties
- NYS standards 7.NS.1c, 6.EE.6
- Difficulty 3 of 5
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Simplify (39(x − 3)/3 + 39)/13
Simplify: (39(x – 3)/3) + 3913
- Type Algebraic expressions
- NYS standards 7.EE.1, 6.EE.3
- Difficulty 2 of 5
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Jar 1 and Jar 2
Jar 1 and Jar 2 each contain 1/2 cup of water. If 1/4 of the water in Jar 1 is poured into Jar 2, how much water is now in…
- Type Fractions and decimals
- NYS standards 7.NS.3
- Difficulty 2 of 5
- Level Below grade 7
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If n is a whole number
If n is a whole number, and 0.01 is between 1/n and 1/n + 2, what is the value of n?
- Type Fractions and decimals
- NYS standards 6.NS.7a, 6.EE.5
- Difficulty 2 of 5
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When asked a certain question in a poll
When asked a certain question in a poll, 72% of the people polled answered yes. If 56 people did not answer yes to that question, what is the total number…
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A museum has a room
A museum has a room in the shape of a rectangle. The area of the floor is 960 square feet. In a scale drawing of the museum, 1 inch =…
- Type Proportions and scale, Area and perimeter
- NYS standards 7.G.1, 7.RP.2b
- Difficulty 3 of 5
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A program on a computer
A program on a computer randomly generates a sequence of whole numbers from 1 to 9, inclusive. If the computer generates a sequence of 300 numbers, what is the best…
- Type Probability
- NYS standards 6.SP.7, 6.SP.8a
- Difficulty 2 of 5
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A truck rental company
A truck rental company charges a one-time fee of $40 plus $1 per mile driven. Dalia rented a truck and used a coupon for 20% off the total rental cost.…
- Type Linear equations, Percents
- NYS standards 7.EE.4a, 7.RP.3
- Difficulty 4 of 5
- Level Above grade 7
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The probability of drawing a red candy
The probability of drawing a red candy at random from a bag of 25 candies is 2/5. After 5 red candies are removed from the bag, what is the probability…
- Type Probability
- NYS standards 6.SP.8a, 6.RP.3
- Difficulty 3 of 5
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Each number in a sequence
Each number in a sequence is formed by doubling the previous number and then adding 1. If the 9th number in the sequence is 63, what is the 10th number…
- Type Patterns and sequences
- NYS standards 7.EE.4a, 6.EE.2c
- Difficulty 4 of 5
- Level Above grade 7
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At a skating championship
8.9, 8.2, 8.5, 9.0, 8.4, 8.6, 8.8 At a skating championship, there are seven judges who each award a score for each skater’s performance. The highest and lowest scores given…
- Type Mean, median, mode and range
- NYS standards 6.SP.5c, 6.NS.3
- Difficulty 2 of 5
- Level Below grade 7
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A piece of wood
A piece of wood that is 4 1/2 feet long is cut into 2 pieces of different lengths. The shorter piece has a length of x feet. Which inequality expresses…
- Type Inequalities
- NYS standards 7.EE.4, 6.EE.8
- Difficulty 3 of 5
- Level Above grade 7
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What is the area of the shaded region
What is the area, in square units, of the shaded region shown in the figure above?
- Type Area and perimeter, Coordinate plane
- NYS standards 6.G.1, 6.G.3
- Difficulty 2 of 5
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Yesterday in Centerville
F = 9/5C + 32 Yesterday in Centerville, the highest Fahrenheit temperature, F, was 86°, and the lowest was 68°. What was the difference between these temperatures, in degrees Celsius,…
- Type Linear equations
- NYS standards 7.EE.4a, 6.EE.2c
- Difficulty 3 of 5
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Let x be an odd number
Let x be an odd number. In terms of x, what is the sum of the two even numbers closest to x?
- Type Number properties, Algebraic expressions
- NYS standards 6.EE.2a, 7.EE.1
- Difficulty 2 of 5
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In 1991, the total public debt
In 1991, the total public debt of the United States was about $3,600,000,000,000. In that year, there were about 250,000,000 people in the United States. Which amount is the best…
- Type Arithmetic and order of operations
- NYS standards 6.NS.2, 6.RP.3b
- Difficulty 2 of 5
- Level Below grade 7
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In the figure above, N is the midpoint
In the figure above, N is the midpoint of MQ. Which segment has length (2x – y) centimeters?
- Type Number line and absolute value, Algebraic expressions
- NYS standards 7.EE.2, 6.EE.6
- Difficulty 3 of 5
- Level Above grade 7
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What is the area of the parallelogram
What is the area of the parallelogram shown above?
- Type Area and perimeter
- NYS standards 6.G.1
- Difficulty 1 of 5
- Level Below grade 7
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On Wednesday, a baker produced
On Wednesday, a baker produced 100 more loaves of bread than were produced on Tuesday. On Thursday, the baker produced 50 fewer loaves than were produced on Tuesday. If the…
- Type Linear equations
- NYS standards 7.EE.4a, 7.EE.1
- Difficulty 2 of 5
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QUIZ SCORES IN MRS. ARCH’S CLASS
QUIZ SCORES IN MRS. ARCH’S CLASS Quiz Score Number of Students 60 9 70 7 80 4 90 5 100 3 In the table above, what is the mean quiz…
- Type Mean, median, mode and range
- NYS standards 6.SP.5c, 6.SP.5a
- Difficulty 3 of 5
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Which graph represents the solution
Which graph represents the solution to the inequality x + 4 ≥ 3?
- Type Inequalities
- NYS standards 7.EE.4b, 6.EE.8
- Difficulty 1 of 5
- Level Below grade 7
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The reciprocal of 1/4 is added
The reciprocal of 1/4 is added to the reciprocal of 3. What is the reciprocal of this sum?
- Type Fractions and decimals
- NYS standards 6.NS.1
- Difficulty 2 of 5
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Nura made a square poster
Nura made a square poster with a side length of 13 inches. Latrice made a square poster with a side length of 15 inches. What is the difference, in square…
- Type Area and perimeter
- NYS standards 6.EE.2c, 6.G.1
- Difficulty 2 of 5
- Level Below grade 7
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INGREDIENTS FOR 4 SERVINGS OF OATMEAL
INGREDIENTS FOR 4 SERVINGS OF OATMEAL Ingredient Cups Oats 2/3 Water 3 1/4 The table shows the cups of ingredients used to make 4 servings of oatmeal. What is the…
- Type Rates and speed, Fractions and decimals
- NYS standards 7.RP.1, 6.NS.1
- Difficulty 3 of 5
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If (3/5 − 1/2)x = 1/4 + 2/3
If (3/5 – 1/2)x = 1/4 + 2/3, what is the value of x?
- Type Fractions and decimals, Linear equations
- NYS standards 7.EE.4a, 7.EE.1
- Difficulty 3 of 5
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In a certain state
In a certain state, the sales tax rate increased from 7.0% to 7.5%. What was the increase in the sales tax on a $200 item?
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Evaluate |(−8) − 12 + (−17) − (−31)| − |24|
Evaluate: |(-8) – 12 + (-17) – (-31)| – |24|
- Type Number line and absolute value
- NYS standards 7.NS.1c, 6.NS.7c
- Difficulty 3 of 5
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CELL PHONE SALES BY COLOR
CELL PHONE SALES BY COLOR Color Percent of Cell Phones Sold White 8k Black 30 Blue 30 – 2k Red k + 5 Total 100 The table above shows cell…
- Type Linear equations
- NYS standards 7.EE.4a, 7.EE.1
- Difficulty 3 of 5
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On the number line above
On the number line above, the distance between X and Y is 1 unit, and the distance between Y and Z is 2 units. What is the distance between Y…
- 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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By what percent did the price
By what percent did the price of a cup of coffee increase if its price was increased from $1.25 to $1.35?
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Raquel is cutting out pieces of cardboard
Raquel is cutting out pieces of cardboard to make a pyramid. She will use a square piece for the base and identical triangular pieces for the sides. The figure above…
- Type Volume and surface area
- NYS standards 7.G.6, 6.G.4, 6.G.1
- Difficulty 4 of 5
- Level Above grade 7
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The price of a sandwich was raised
The price of a sandwich was raised from $6.25 to $6.75. What was the percent increase in the price?
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Terrell played 5 computer games
Terrell played 5 computer games and earned a mean score of 8 points per game. If his mean score for the first 4 games was 7 points per game, how…
- Type Mean, median, mode and range
- NYS standards 6.SP.5c, 6.SP.3
- Difficulty 3 of 5
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Lian bought enough oranges to fill 4 bags
Lian bought enough oranges to fill 4 bags. Each bag contains 8 oranges. The total cost was $11.52. At that rate, how much would Lian pay for 42 oranges?
- Type Rates and speed
- NYS standards 6.RP.3b, 6.NS.3
- Difficulty 2 of 5
- Level Below grade 7
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3.6 ÷ 0.018
3.6 ÷ 0.018 =
- Type Fractions and decimals
- NYS standards 6.NS.3
- Difficulty 2 of 5
- Level Below grade 7
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A tank with a 500-gallon capacity
A tank with a 500-gallon capacity currently contains 75 gallons of water. Additional water is poured into this tank at a rate of 5 gallons per minute. After 45 minutes…
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Misha wants to use ribbon
Misha wants to use ribbon to make 2 straps for a backpack. The ribbon costs $5.00 a yard. If each strap requires 1 1/4 yards of ribbon, how much will…
- Type Fractions and decimals
- NYS standards 6.RP.3b, 6.NS.3
- Difficulty 1 of 5
- Level Below grade 7
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A graph shows the proportional relationship
A graph shows the proportional relationship between the number of test questions a student gets correct, x, and the student’s test score, y. The ordered pair (1, 5/4) is on…
- Type Proportions and scale
- NYS standards 7.RP.2d, 7.RP.2b
- Difficulty 2 of 5
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In a survey of 200 adults
In a survey of 200 adults in the town of Waskegon, 45 reported reading the online version of the Waskegon Bulletin the previous day. If 25,000 adults live in Waskegon,…
- Type Proportions and scale
- NYS standards 6.SP.1b, 6.RP.3
- Difficulty 2 of 5
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A hiker plans on hiking 17 miles
A hiker plans on hiking 17 miles in 3 days. Which equation describes the relationship between the number of days hiked, x, and the number of miles traveled, y?
- Type Proportions and scale
- NYS standards 7.RP.2c, 7.RP.2b
- Difficulty 2 of 5
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Carolyn walked 3 miles from her house
Carolyn walked 3 miles from her house to the library and then 2 1/2 miles farther to the grocery store. Returning home by the same route, she walked 1 2/3…
- Type Fractions and decimals
- NYS standards 7.EE.3, 7.NS.3
- Difficulty 3 of 5
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A child grows 1 1/4 inches
A child grows 1 1/4 inches in 1/3 of a year. What would be his yearly growth rate in inches per year?
- Type Proportions and scale, Fractions and decimals
- NYS standards 7.RP.1, 6.NS.1
- Difficulty 2 of 5
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3(0.01) − 3(0.1)
3(0.01) – 3(0.1) =
- Type Fractions and decimals
- NYS standards 7.NS.1c, 6.NS.3
- Difficulty 2 of 5
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10 1/2 + (−5 1/3) − (−2 3/4)
What is the value of 10 1/2 + (-5 1/3) – (-2 3/4)?
- 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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Carlos has $350 in a savings account
Carlos has $350 in a savings account that earns 5% simple interest each year. How much will he have in the account after 1 year, if there is no money…
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The probability of an event occurring
The probability of an event occurring is 0.05. What is the chance that the event will occur?
- Type Probability
- NYS standards 6.SP.6
- Difficulty 1 of 5
- Level Below grade 7
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The table below shows the number of cups
The table below shows the number of cups of red paint and blue paint used to make a purple paint mixture. PURPLE PAINT Cups of Red Paint Cups of Blue…
- Type Proportions and scale
- NYS standards 7.RP.2b, 6.RP.3a
- Difficulty 1 of 5
- Level Below grade 7
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On the number line above
On the number line above, what is the distance, in units, between the midpoint of PQ and the midpoint of QR?
- Type Number line and absolute value
- NYS standards 7.NS.1c, 6.NS.6c
- Difficulty 2 of 5
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An ice cream shop sells 16 cups
An ice cream shop sells 16 cups of ice cream for $48 and 4 cups for $12. There is a proportional relationship between the number of cups of ice cream…
- Type Proportions and scale
- NYS standards 7.RP.2b, 6.RP.2
- Difficulty 2 of 5
- Level Below grade 7