2021 Test A Math
Practice questions from 2021 Test A Math, with an explanation of every answer.
-
In the figure above, PQRS is a parallelogram
In the figure above, PQRS is a parallelogram. What is the value of x?
- Type Angles and lines
- NYS standards 7.G.5, 8.G.5
- Difficulty 4 of 5
- Level Above grade 7
- Format Grid-in
-
The owner of a tree farm plants pine trees and oak
The owner of a tree farm plants pine trees and oak trees in a ratio of 8:3. How many oak trees are planted if 264 pine trees are planted?
-
For what value of w is 4w = 2w − 8
For what value of w is 4w=2w-8?
- Type Linear equations
- NYS standards 8.EE.7b, 7.NS.2b
- Difficulty 1 of 5
- Format Grid-in
-
A survey asked students what
A survey asked students what pets they have. Based on the results, the following statements are all true. 20 students have cats. 23 students have dogs. 3 students have both…
- Type Counting and arrangements
- NYS standards 7.SP.8b
- Difficulty 3 of 5
- Format Grid-in
-
The sum of two consecutive integers
The sum of two consecutive integers is −15. If 1 is added to the smaller integer and 2 is subtracted from the larger integer, what is the product of the…
- Type Number properties
- NYS standards 7.EE.4a, 7.NS.2a
- Difficulty 4 of 5
- Level Above grade 7
- Format Grid-in
-
The set of possible values of m is {5, 7, 9}
The set of possible values of m is { 5,7,9 }. What is the set of possible values of k if 2k=m+3?
- Type Linear equations
- NYS standards 6.EE.7, 6.EE.5
- Difficulty 2 of 5
-
Simplify 7 + (3n + 6) − (4n + 8)
7+(3n+6)-(4n+8)=
- Type Algebraic expressions
- NYS standards 7.EE.1, 7.NS.1c
- Difficulty 2 of 5
-
In a certain school
In a certain school, course grades range from 0 to 100. Adrianna took 4 courses and her mean course grade was 90. Roberto took 5 courses. If both students have…
- Type Mean, median, mode and range
- NYS standards 6.SP.5c, 6.SP.3
- Difficulty 2 of 5
- Level Below grade 7
-
Jenny starts a game with twice as many
Jenny starts a game with twice as many marbles as Keiko. Jenny gives Keiko 5 marbles, but she still has 10 more than Keiko. How many marbles did Jenny have…
- Type Two-variable problems
- NYS standards 8.EE.8c, 7.EE.4
- Difficulty 4 of 5
- Level Above grade 7
-
In a scale diagram
In a scale diagram, 0.125 inch represents 125 feet. How many inches represent 1 foot?
- Type Proportions and scale
- NYS standards 7.G.1, 6.RP.3b, 6.NS.3
- Difficulty 2 of 5
-
PEOPLE PER VEHICLE AT CHECKPOINT
PEOPLE PER VEHICLE AT CHECKPOINT Number of People in Vehicle Percent of Vehicles 1 40% 2 35% 3 15% 4 7% 5 or more 3% A researcher recorded the number…
- Type Tables, charts and graphs, Percents
- NYS standards 6.RP.3c, 6.SP.5
- Difficulty 3 of 5
-
In the pyramid above
In the pyramid above, each triangular face has the same area, and the base MNPQ is a square that measures 8 centimeters on each side. If the length of RS…
- Type Volume and surface area
- NYS standards 7.G.6, 6.G.4, 6.G.1
- Difficulty 3 of 5
-
The perimeter of a rectangle
The perimeter of a rectangle is 510 centimeters. The ratio of the length to the width is 3:2. What are the dimensions of this rectangle?
- Type Ratios, Area and perimeter
- NYS standards 7.RP.3, 7.EE.4a
- Difficulty 3 of 5
-
Which number line shows −4 < x/2 < 2
Which number line below shows the solution to the inequality -4< x/2< 2?
- Type Inequalities
- NYS standards 7.EE.4b, 6.EE.8
- Difficulty 2 of 5
-
The sum of the numbers x, y, and z
The sum of the numbers x, y, and z is 50. The ratio of x to y is 1:4, and the ratio of y to z is 4:5. What is…
-
A box of colored pencils contains
A box of colored pencils contains exactly 6 red pencils. The probability of choosing a red pencil from the box is 2/7. How many of the pencils in the box…
- Type Probability
- NYS standards 6.SP.8a, 6.RP.3
- Difficulty 2 of 5
-
1 dollar = 7 lorgs
1 dollar = 7 lorgs 1 dollar = 0.5 dalt Kevin has 140 lorgs and 16 dalts. If he exchanges the lorgs and dalts for dollars according to the rates…
- Type Unit conversion
- NYS standards 6.RP.3d, 6.NS.3
- Difficulty 3 of 5
-
What is the area of the shaded
What is the area of the shaded region in the graph above?
- Type Area and perimeter, Coordinate plane
- NYS standards 6.G.1, 6.G.3
- Difficulty 1 of 5
- Level Below grade 7
-
In Centerville, 45% of the population
In Centerville, 45% of the population is female, and 60% of the population commutes to work daily. Of the total Centerville population, 21% are females who commute to work daily.…
- Type Counting and arrangements, Percents
- NYS standards 7.SP.8b, 7.RP.3
- Difficulty 4 of 5
- Level Above grade 7
-
Mrs. Cranston bought five bottles
Mrs. Cranston bought five bottles of water for $0.90 each and 8 pounds of meat. She paid a total of $26.90 for these items, not including tax. What was the…
- Type Linear equations
- NYS standards 7.EE.4a, 7.NS.3
- Difficulty 2 of 5
-
In a sample of 10 cards
In a sample of 10 cards, 4 are red and 6 are blue. If 2 cards are selected at random from the sample, one at a time without replacement, what…
- Type Probability
- NYS standards 7.SP.8a, 7.SP.8b
- Difficulty 4 of 5
- Level Above grade 7
-
1 sind = 4 lorgs 2 plunks = 5 dalts
1 sind = 4 lorgs 2 plunks = 5 dalts 5 sinds = 2 harps 1 plunk = 3 harps A nation has five types of coins: sinds, dalts, lorgs,…
- Type Unit conversion
- NYS standards 6.RP.1, 6.RP.3d
- Difficulty 3 of 5
-
The faculty of a certain four-year college
The faculty of a certain four-year college consists of 179 teachers. There are 663 first-year students. The student-to-faculty ratio for the entire college is 15 to 1. What is the…
-
How People Get to Work
How many more people in Center City walk to work than ride their bicycle to work?
- Type Tables, charts and graphs, Percents
- NYS standards 6.RP.3c, 6.SP.5
- Difficulty 2 of 5
- Level Below grade 7
-
Which of the following numbers
Which of the following numbers has factors that include the smallest factor (other than 1) of 91?
- Type Number properties
- NYS standards 6.NS.4
- Difficulty 3 of 5
- Level Below grade 7
-
In a scale drawing of a triangular banner
In a scale drawing of a triangular banner, one side measures 16 centimeters and the other two sides each measure 12 centimeters. On the actual banner, these two sides each…
- Type Proportions and scale
- NYS standards 7.G.1, 7.RP.2b
- Difficulty 2 of 5
-
SCORES ON MATH QUIZ
SCORES ON MATH QUIZ Score Number of Students 85 4 75 4 65 2 What is the mean score of the 10 students in the table above?
- Type Mean, median, mode and range
- NYS standards 6.SP.5c, 6.SP.5a
- Difficulty 2 of 5
- Level Below grade 7
-
The least of 5 consecutive integers
The least of 5 consecutive integers is l, and the greatest is g. What is the value of l+g/2 in terms of l?
- Type Number properties, Algebraic expressions
- NYS standards 7.EE.1, 7.EE.2
- Difficulty 3 of 5
-
A car is traveling 55 miles per hour
A car is traveling 55 miles per hour, and 1 mile = 5,280 feet. Which of the following calculations would give the car’s speed in feet per second?
- Type Unit conversion
- NYS standards 6.RP.3d, 6.RP.3b
- Difficulty 2 of 5
-
Today, Tien’s age is 1/4 of Jordan’s age
Today, Tien’s age is 1/4 of Jordan’s age. In 2 years, Tien’s age will be 1/3 of Jordan’s age. How old is Jordan today?
- Type Two-variable problems
- NYS standards 8.EE.8c, 8.EE.7b
- Difficulty 4 of 5
- Level Above grade 7
-
How many positive even factors
How many positive even factors of 48 are greater than 24 and less than 48?
- Type Number properties
- NYS standards 6.NS.4
- Difficulty 2 of 5
- Level Below grade 7
-
What is the value of the expression
2 1/5+3 3/10+4 2/5+5 1/2 What is the value of the expression shown above?
- Type Fractions and decimals
- NYS standards 7.NS.1d, 7.EE.3
- Difficulty 2 of 5
- Level Below grade 7
-
An unmarked straight stick
An unmarked straight stick will be laid end over end to measure a distance of exactly 72 feet. The same stick will be used in the same way to measure…
- Type Number properties
- NYS standards 6.NS.4
- Difficulty 2 of 5
- Level Below grade 7
-
There are 6 different cookies on a plate
There are 6 different cookies on a plate. Aiden will choose 2 of these cookies to pack in his lunch. How many different pairs of 2 cookies can he choose…
- Type Counting and arrangements
- NYS standards 7.SP.8b
- Difficulty 3 of 5
-
For a presentation, Deion can create
For a presentation, Deion can create 5 slides in 20 minutes, working at a constant rate. Kyra can create 3 slides in 10 minutes, working at her own constant rate.…
- Type Rates and speed
- NYS standards 6.RP.3b
- Difficulty 2 of 5
-
On the number line above
On the number line above, LN = 1/8. Point M (not shown) is located between point L and point N. Which value below is a possible value for M?
- Type Number line and absolute value, Fractions and decimals
- NYS standards 7.NS.2d, 7.NS.1b, 6.NS.7a
- Difficulty 3 of 5
-
Johan leased a car for three years
Johan leased a car for three years. He paid a one-time fee of $1,000, and an additional $300 per month for the full three years. At the end of the…
- Type Arithmetic and order of operations
- NYS standards 6.EE.2c, 6.RP.3d
- Difficulty 1 of 5
- Level Below grade 7
-
Ryan must read 150
Ryan must read 150 pages for school this weekend. It took him 30 minutes to read the first 20 pages. At this rate, how much additional time will it take…
- Type Rates and speed
- NYS standards 6.RP.3b, 6.RP.3d
- Difficulty 3 of 5
-
Suppose M = w/x and N = y/z
Suppose M=w/x, N=y/z, and w,x,y, and z do not equal 0. What is M/N in terms of w,x,y, and z?
- Type Algebraic expressions
- NYS standards 6.NS.1, 7.NS.2c
- Difficulty 2 of 5
-
In the set of consecutive integers
In the set of consecutive integers from 12 to 30, inclusive, there are four integers that are multiples of both 2 and 3. How many integers in this set are…
- Type Number properties
- NYS standards 6.NS.4
- Difficulty 4 of 5
- Level Above grade 7
-
If 3n is a positive even number
If 3n is a positive even number, how many odd numbers are in the range from 3n up to and including 3n+5?
- Type Number properties
- NYS standards 6.EE.2b, 6.EE.6
- Difficulty 2 of 5
-
A box contains 5 strawberry candies
A box contains 5 strawberry candies, 3 banana candies, and 2 orange candies. If Braden selects 2 candies at random from this box, without replacement, what is the probability that…
- Type Probability
- NYS standards 7.SP.8a
- Difficulty 4 of 5
- Level Above grade 7
-
In the equation w/x = y/z
w/x=y/z In the equation above, w,x,y, and z are positive numbers. Which of these is equal to z?
- Type Linear equations
- NYS standards 8.EE.7, 6.EE.7
- Difficulty 2 of 5
- Level Above grade 7
-
On the number line above
On the number line above, points W, X, Y, and Z are integers, and WX:XY:YZ = 4:2:3. What is the value of WY?
- Type Ratios, Number line and absolute value
- NYS standards 7.RP.3, 7.NS.1c
- Difficulty 4 of 5
- Level Above grade 7
-
A metal square used in an electronic
A metal square used in an electronic device must have a thickness of 0.02 inch, with an allowable error of 1 percent. What is the greatest allowable thickness of the…
-
SCORES ON BIOLOGY TEST
SCORES ON BIOLOGY TEST Section Lowest Score Range I 65 28 II 62 25 III 67 22 Mr. Blake’s biology class is divided into three sections. The same test was…
- Type Mean, median, mode and range
- NYS standards 6.SP.5c, 6.SP.3
- Difficulty 3 of 5
-
The graph above shows
The graph above shows the number of schools per city for five small cities. Cities M and N each have 500 students per school. City P has 400 students per…
- Type Tables, charts and graphs
- NYS standards 6.RP.3b, 6.SP.5
- Difficulty 2 of 5
- Level Below grade 7
-
In the infinitely repeating decimal above
10/13=0.769230 In the infinitely repeating decimal above, 7 is the first digit in the repeating pattern. What is the 391st digit?
- Type Patterns and sequences
- NYS standards 7.NS.2d, 6.NS.2
- Difficulty 4 of 5
- Level Above grade 7
-
A car travels at
A car travels at 4,400 feet per minute. The radius of each tire on the car is 1 foot. How many revolutions does one of these tires make in 1…
-
Evaluate 100(2 + 0.1)² − 100
100(2+0.1)^2-100=
- Type Exponents and roots
- NYS standards 6.EE.1, 6.NS.3
- Difficulty 2 of 5
- Level Below grade 7
-
A sports store has a container
A sports store has a container of handballs: 4 blue, 5 red, 8 yellow, 9 white, and 11 green. If one ball is picked from the container at random, what…
- Type Probability
- NYS standards 6.SP.8a
- Difficulty 1 of 5
- Level Below grade 7
-
Each week, Leon has fixed
Each week, Leon has fixed expenses of $1,250 at his furniture shop. It costs him $150 to make a chair in his shop, and he sells each chair for $275.…
- Type Arithmetic and order of operations
- NYS standards 7.EE.3, 6.EE.2c
- Difficulty 3 of 5
-
Using the approximation 2.54 centimeters = 1 inch
Using the approximation 2.54 centimeters = 1 inch, how many centimeters are in 4 feet 7 inches?
- Type Unit conversion
- NYS standards 6.RP.3d, 6.NS.3
- Difficulty 2 of 5
- Level Below grade 7
-
On the number line above
On the number line above, JK=3 1/2, JM=9 3/4, and LM=1 1/8. What is the position of point L?
- Type Number line and absolute value, Fractions and decimals
- NYS standards 7.NS.1c, 7.NS.1b
- Difficulty 5 of 5
- Level Above grade 7
-
If 4x − 3y = 12, what is x in terms of y
If 4x-3y=12, what is x in terms of y?
- Type Linear equations
- NYS standards 8.EE.7b, 7.EE.1
- Difficulty 3 of 5
- Level Above grade 7
-
SERVINGS OF FRUITS AND VEGETABLES
SERVINGS OF FRUITS AND VEGETABLES Number of Servings of Fruits and Vegetables Number of Students 0 5 1 7 2 3 3 4 4 0 5 1 There are 20…
- Type Mean, median, mode and range
- NYS standards 6.SP.5c
- Difficulty 3 of 5
-
A paste used to cover a billboard
A paste used to cover a billboard is made by mixing the following ingredients by weight: 4 parts powder, 3 parts water, 2 parts resin, and 1 part hardener. To…