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End-of-Grade 7 (EOG7) Math

Last updated 11 months ago

45 questions

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NC.7.NS.3

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This is the start of the calculator inactive test questions.

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Question 11

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A library has 12,500 fiction books and 19,000 nonfiction books.
Currently, \frac{2}{5} of the fiction books are checked out.
Currently, \frac{2}{5} of the nonfiction books are checked out.
Of the books checked out, \frac{1}{10} are due back this week.
How many books are due this week?

Question 12

12.

Kevin is paid $8.80 per hour. He worked 7 hours. He gave his mother \frac{1}{4} of his earnings. How much did Kevin have left?

Question 13

13.

Square RSTU is inside trapezoid RSVU. What is the measure, in degrees, of angle VSR?

Question 14

14.

Janet can make \frac{4}{5} of a necklace in 20 minutes. At this rate, how many necklaces, to the nearest tenth of a necklace, can Janet make in 1 hour?

Question 15

15.

Kyle bought x pencils. He paid $1.24, including tax, per pencil. He gave the cashier $20 and received $5.12 in change. How many pencils did Kyle purchase?

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Question 16

16.

The angles in this diagram are complementary.

What is the value of x?

Question 17

17.

A car used \frac{1}{64} of a gallon of gas to drive \frac{1}{4} of a mile. At this rate, how many miles can the car travel using 1 gallon of gas?

Question 18

18.

Craig earns the same amount of money each month. His telephone bill is \frac{1}{20} of his monthly earnings, and he pays a total of $720 each year for his telephone service. How much does Craig earn each month, in dollars?

Question 19

19.

A recipe requires \frac{1}{4} cup of oil for every \frac{2}{3} cup of water. How much oil (in cups) is needed per cup of water?

Question 20

20.

In this figure, ST is a line.

What is the value of x?

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Which expression has the least value when x = 100?

\frac{1}{x}

\frac{10}{x}

1 - x

10 - x

The cafeteria staff made sandwiches. Each sandwich had either rye or white bread, either ham or turkey, and either cheese or no cheese. The staff made an equal number of each type of sandwich. The sandwiches were placed on a tray. Without looking, Mary will choose a sandwich. What are the chances that Mary will get a sandwich with cheese?

\frac{1}{8}

\frac{1}{6}

\frac{1}{3}

\frac{1}{2}

A 5-lb bag of apples costs $4.50, and an 8-lb bag of the same type of apples costs $7.52. Greg found the unit price, which is the constant of proportionality between cost and weight, for each bag of apples. What is the difference in the unit prices?

$0.04 per pound

$0.12 per pound

$0.16 per pound

$0.21 per pound

The scores that Joni and Sally received on their first seven assignments are shown in this table.

Which statement is true?

Sally's median score is higher than Joni's median score.

Sally's median score is lower than Joni's median score.

Sally's median score is the same as Joni's median score.

The median scores cannot be determined.

Which expression is equivalent to \frac{1}{2}(2n +6)?

\frac{1}{2} + 2n + 6 

2\frac{1}{2}n + 6\frac{1}{2} 

n+6

n+3

Susan’s weekly earnings were proportional to the number of hours she worked. This table shows the number of hours Susan worked and the amount she earned.

How much money did Susan earn per hour?

$22.50

$19.00

$9.50

$7.50

Which expression is equivalent to 3x - (2x + 4) + 5?

x + 9

x + 1

5x + 9

5x + 1

This table shows the relationship between x and y.

Which equation models this relationship?

y = 53x

y = 53.5x

y = 54x

y = 54.5x

Which expression is equivalent to 2(3 - x) - 12 + 4x?

3x - 6

3x - 7

2x - 6

2x - 7

Mr. Kelly pays $12,564 a year for rent. His rent is a constant amount each month. Which equation represents the amount he pays per month if m = months and c = total rent paid for the year?

1,047m = c

1,047c = m

1,047 + m = c

m \div 1,047 = c

This table shows how much each type of meat costs at a local deli.

A customer purchased \frac{1}{4} pound of ham, 1\frac{1}{2} pounds of turkey, 1 pound of roast beef, and \frac{3}{4} pound of bologna. Approximately what will the customer pay for the purchase before sales tax?

$17

$19

$22

$25

Four friends each flipped a coin different numbers of times.
Alice got heads 75% of the time.
Mary got heads 8 out of 10 times.
Sarah got heads 17 out of 20 times.
Ellen got heads  \frac{3}{5}  of the time.
Who had the greatest percentage of heads?

Alice

Mary

Sarah

Ellen

Martin ordered a pizza with a 16-inch diameter. Ricky ordered a pizza with a 20-inch diameter. What is the approximate difference in area of the two pizzas?

50 inches2

113 inches2

201 inches2

452 inches2

A state representative took several random surveys of adults to find which place they visited most frequently. The average of all of the surveys is shown in this table.

Based on the table, which conclusion can be made?

On average, 50% of the adults visited the zoo most frequently.

On average, 17% of the adults visited the park most frequently.

On average, 2 out of 25 adults visited the aquarium most frequently.

On average, 2 out of 10 adults visited the museum most frequently.

Tony bought a $48 sweatshirt and used a coupon for a 10% discount. Keith bought an identical sweatshirt at a different store for $42.95. Which statement is true?

Tony paid $0.25 less than Keith paid.

Tony paid $4.95 less than Keith paid.

Keith paid $0.25 less than Tony paid.

Keith paid $4.95 less than Tony paid.

Which expression is equivalent to -\frac{1}{2}\left(\frac{1}{4}x - \frac{3}{8}\right)?

-\frac{1}{8}x + \frac{3}{16}

-\frac{1}{8}x + \frac{3}{8}

\frac{1}{8}x - \frac{3}{16}

\frac{1}{8}x - \frac{3}{8}

Erica saw a skateboard on sale for $59.95. The original price of the skateboard was $79.95. What is the approximate percent discount on the skateboard?

20%

25%

75%

80%

Jane wants to pick out an outfit for the school dance. She can choose from 3 pairs of pants, 5 shirts, and 2 pairs of shoes. How many different outfits does Jane have to choose from?

10

15

30

60

This diagram is a scale drawing of a store.

To the nearest 50 square feet, what is the area of the actual store?

2,350 square feet

2,400 square feet

2,450 square feet

2,500 square feet

This spinner will be spun twice.

What is the probability of spinning an odd number both times?

\frac{1}{8}

\frac{1}{4}

\frac{1}{2}

\frac{3}{4}

Which choice describes the value of m when -5(m + 1) \leq 23?

m \geq -\frac{28}{5}

m \leq -\frac{28}{5}

m \geq -\frac{18}{5}

m \leq -\frac{18}{5}

Paul has a spinner with 4 colors: green, yellow, blue, and orange. He spins the spinner 60 times and records each color it stops on. The results are shown in this table.

Paul will spin the spinner an additional 450 times. How many times should he expect the spinner to stop on blue?

140

124

113

105

Circle M has a radius of 7.0 \, \text{cm}. The shortest distance between P and Q on the circle is 7.3 \, \text{cm}.

What is the approximate area of the shaded portion of circle M?

153.9 \, \text{cm}^2

44.0 \, \text{cm}^2

25.6 \, \text{cm}^2

21.0 \, \text{cm}^2

Nicole wants to conduct a survey of the opinions of students at her middle school. Which survey sample would give her the most accurate results?

random students as they enter the school

students during math class

random seventh-grade students during lunch

teachers in the seventh-grade hallway

A teacher divided the class into two groups of equal size.
\frac{3}{5} of the first group are right-handed.
80% of the second group are right-handed.
What fraction of the class is right-handed?

\frac{8}{9}

\frac{4}{5}

\frac{7}{10}

\frac{5}{7}

This graph shows time and distance traveled for two objects.

Which statement is true?

Object 2 travels 6/5 of a foot more per minute than Object 1.

Object 2 travels 5/6 of a foot more per minute than Object 1.

Object 1 travels 6/5 of a foot more per minute than Object 2.

Object 1 travels 5/6 of a foot more per minute than Object 2.

Jamal, Gary, Charlie, and Brian are going to stand in a line, one behind the other. In how many different ways can they stand in the line?

24

16

10

4

What is the value of y when -5=\frac{y-7}{9}?

-7

-11

-38

-52

Which choice has a value that is closest to the value of the following expression?

\frac{17}{12}-\frac{49}{40} 

\frac{1}{4} 

\frac{1}{5} 

\frac{1}{6} 

\frac{1}{7} 

The equation y = 6.75x models the cost, in dollars, to purchase x pounds of steak at grocery store 1. This table shows the cost to buy different weights of steak at grocery store 2.

Which statement is true?

The cost of steak at grocery store 1 is $0.75 less per pound than at grocery store 2.

The cost of steak at grocery store 1 is $0.75 more per pound than at grocery store 2.

The cost of steak at grocery store 1 is $0.50 less per pound than at grocery store 2.

The cost of steak at grocery store 1 is $0.50 more per pound than at grocery store 2.

This table shows the number of points two teams scored in five games.

What is the difference in the mean absolute deviation of the two teams?

2.16

6.2

7.0

8.96

Daniel earned $8.00 per hour at his job.
Daniel works 35 hours each week.
He received a 5% pay increase.
How much more money will Daniel earn each week after the pay increase?

$5

$14

$39

$48

The test scores for the students in Mr. Miller’s math class are shown here.

52, 61, 69, 76, 82, 84, 85, 90, 94

What is the range of the test scores?

82.0

77.0

42.0

22.5

The two ends of this triangular right prism are equilateral triangles. The measurements are given to the nearest tenth of a cm.

What is the surface area of the prism?

70 \text{ cm}^2

74 \text{ cm}^2

140 \text{ cm}^2

280 \text{ cm}^2

The probability that a person in a certain town has brown eyes is 2 out of 5. A survey of 450 people from that same town was taken. How many people would be expected to have brown eyes?

45

90

180

225