2022 Test A Math
Practice questions from 2022 Test A Math, with an explanation of every answer.
-
The figure below shows a circle with a hole
The figure below shows a circle with a hole in the middle. The outer diameter of the circle is 1 1/4 inches. The diameter of the hole is 1/4 inch.…
-
A homeowner has a budget of $135
A homeowner has a budget of $135 for the installation of a light fixture. An electrician charges $60 per hour plus a one-time trip charge of $45. What is the…
- Type Inequalities
- NYS standards 7.EE.4b, 6.EE.8
- Difficulty 2 of 5
- Format Grid-in
-
The list shows the daily low temperatures
The list shows the daily low temperatures in a city during six days in the winter. 7° F, 4° F, 1° F, −2° F, −5° F, 3° F What is…
- 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
-
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
-
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
-
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
-
x²y⁶/xy²
x^2y^6xy^2 What is the value of the expression above if x = -2 and y = 2?
- Type Algebraic expressions
- NYS standards 6.EE.2c, 7.NS.2a, 7.NS.2b
- Difficulty 2 of 5
-
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
-
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
-
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
-
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
-
A bus begins its trip with R occupants
A bus begins its trip with R occupants (including the driver). At each of the 20 stops, 3 people get on and no one leaves. If there are 3 times…
- Type Linear equations
- NYS standards 8.EE.7b, 7.EE.4
- Difficulty 4 of 5
- Level Above grade 7
-
Jay sold n tickets
Jay sold n tickets. Pilar sold three times as many tickets as Jay did. Together, Jay and Pilar sold ten more tickets than Amie sold. Which expression shows how many…
- Type Algebraic expressions
- NYS standards 6.EE.6, 6.EE.2a, 6.EE.3
- Difficulty 3 of 5
-
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
-
If 5(x − 6y) = 50y
If 5(x – 6y) = 50y, what is the value of x in terms of y?
- Type Linear equations
- NYS standards 8.EE.7b, 7.EE.4a
- Difficulty 3 of 5
- Level Above grade 7
-
A scale drawing of a new pool
Scale: 1/2 in. = 25 ft A scale drawing of a new pool is shown above. All the corners are right angles. What is the perimeter of the actual pool?
- Type Proportions and scale, Area and perimeter
- NYS standards 7.G.1, 7.RP.1
- Difficulty 4 of 5
-
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
-
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
-
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
-
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
-
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
-
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
-
(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
-
12.96 ÷ 0.08
12.96 ÷ 0.08 =
- Type Fractions and decimals
- NYS standards 6.NS.3
- Difficulty 2 of 5
- Level Below grade 7
-
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
-
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
-
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
-
The table shows the income and expenses
The table shows the income and expenses in a bicycle shop on one day. BICYCLE SHOP TRANSACTIONS Description Income Expense Paid employees $120 × 4 Sold 2 bicycles $400 ×…
- Type Linear equations, Arithmetic and order of operations
- NYS standards 7.EE.3, 6.EE.7
- Difficulty 3 of 5
-
Dakota has four yardsticks
Dakota has four yardsticks and two 12-inch rulers. If she lays all four of the yardsticks and both rulers end-to-end, what is the maximum number of feet she can measure…
- Type Unit conversion
- NYS standards 6.RP.3d
- Difficulty 1 of 5
- Level Below grade 7
-
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,…
-
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…
-
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
-
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
-
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
-
A clerk enters information on a computer
A clerk enters information on a computer. The graph shows the relationship between time, in hours, and the number of keystrokes the clerk makes. What is the meaning of the…
- Type Proportions and scale
- NYS standards 7.RP.2d, 7.RP.2b
- Difficulty 2 of 5
-
When the three-digit whole number
When the three-digit whole number 27? is divided by 3 or by 4, the remainder is zero. What is the missing digit?
- Type Number properties
- NYS standards 6.NS.4
- Difficulty 2 of 5
- Level Below grade 7
-
Based on the circle graph
Based on the circle graph, how many pounds of milk and eggs does the average American consume each year?
- Type Tables, charts and graphs, Percents
- NYS standards 6.RP.3c, 6.SP.5
- Difficulty 2 of 5
- Level Below grade 7
-
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?
-
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…
-
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
-
LAST YEAR’S TOTAL ATTENDANCE
LAST YEAR’S TOTAL ATTENDANCE Attendees Number Children 1,750 Adults 2,250 Seniors 1,000 Total 5,000 If 100 individuals will attend the museum next week, what is the best estimate (based on…
- Type Proportions and scale, Percents
- NYS standards 6.RP.3c, 6.SP.7
- Difficulty 2 of 5
- Level Below grade 7
-
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
-
A bag contains 15 marbles
A bag contains 15 marbles: 11 blue marbles and 4 red marbles. Sarah picks one marble randomly, returns it to the bag, and then randomly picks one marble again. What…
- Type Probability
- NYS standards 7.SP.8a, 6.SP.8a
- Difficulty 2 of 5
-
Anita is assigned to report on 1 topic
Report Subject Topic Choices #1 Geography Kenya, Thailand, Chile, Greece, New Zealand #2 English R. Frost, L. Hughes, N. Giovanni #3 Science 1997 Mars mission #4 Math π, regular polyhedrons…
- Type Counting and arrangements
- NYS standards 7.SP.8b
- Difficulty 2 of 5
-
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
-
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
-
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
-
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
-
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
-
Nadia paid $1.00 to mail a letter
Nadia paid $1.00 to mail a letter. The cost to mail a letter is $0.55 for the first ounce of weight plus $0.15 for each additional ounce. What was the…
- Type Linear equations
- NYS standards 7.EE.4a, 6.NS.3
- Difficulty 3 of 5
-
COST OF ORANGES
COST OF ORANGES Number of Oranges Cost 4 $1.80 6 $2.70 9 $4.05 The table shows the cost of oranges. What is the unit rate for the cost per orange?
- Type Rates and speed
- NYS standards 7.RP.2b, 6.NS.3
- Difficulty 1 of 5
- Level Below grade 7
-
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
-
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…
-
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
-
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
-
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
-
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…