Grade 7 Math Practice Test 02: Part 1

1. What is the decimal equivalent of the fraction $\frac{3}{11}$ ?

$0.27$

$0.2\overline{7}$

$0.\overline{27}$

$0.277$

2. The area of a circle is $25 \pi$ centimeters squared. What is the circumference of the circle in terms of $\pi$ ?

$5 \pi cm$

$10 \pi cm$

$50 \pi cm$

$156.25 \pi cm$

3. Rob buys a sandwich and drinks at a store.

He pays a total of $14.89 for the sandwich and drinks
He pays $7.89 for the sandwich
He buys four drinks that each cost the same

Which equation can be used to determine the cost, x, of each drink?

$x=(14.89-7.89) \div 4$

$x=(14.89) \div 4+7.89$

$x=(14.89+7.89) \div 4$

$x=14.89 \div 4 - 7.89$

4. A spinner is divided into five colored sections that are not of equal size: pink, yellow, green, blue, and red. The arrow on the spinner is spun several times.

Color	Frequency
Pink	7
Green	12
Blue	19
Red	13
Yellow	9

The arrow on the spinner will be spun one more time. Based on these results, what is the probability that the arrow will land on the green section.

$\frac{1}{5}$

$\frac{1}{4}$

$\frac{12}{19}$

$\frac{3}{16}$

5. The table below shows the profit of a company over five months.

Month	Profit
January	$2,000
February	$1,500
March	-$500
April	-$1,000
May	$3,000

What is the mean monthly profit over the five months for the company?

-$1,600

$100

$1,000

$1,600

6. Which expression is equivalent to $(9) - 12n$ ?

$-3(-3-4n)$

$-3(-3-12n)$

$-3(-3+4n)$

$3(-3-4n)$

7. Maurice is keeping track of his monthly subcsription cost. Each month he updates his total cost for the subscription. The data is shown in the table below.

t (months)	P (dollars)
1	$75
2	$105
3	$135

Which of the following statements best describes the relationship between t and P?

The relationship is proportional because the difference between t and P is constant.

The relationship is proportional because the ratio of t to P is constant.

The relationship is not proportional because the difference between t and P is constant.

The relationship is not proportional because the ratio of t to P is not constant.

8. Nichelle deposits $250.00 into a new savings account.

The account earns 5% simple interest per year.
No money is added or removed from the savings account for three years.

What is the total amount of money in the savings account at the end of the three years?

$12.50

$37.50

$287.50

$375.00

9. Which situation results in a final value of zero?

The distance above sea level after increasing 26 meters from a depth of 13 meters below sea level.

The height of an airplane after descending 500 feet from height of 1,000 feet.

The temperature after an increase of $9^oF$ from a temperature of $-9^oF$ .

The amount of money owed after making a $12 purchase with a $6.

10. Three classes are raising money to buy new tablets.

Class A raised $175.
Class B raised $315.
Class C raised $195.

What is the total amount of money raised by all three classes?

$490

$685

$510

$2,055

11. A factory produced 5,125 cars in April.The factory's output increased by 24.8% from April to May and by 32.1% from May to June. Which expression represent a strategy for estimating the total output of cars in June?

5,000 + 25 + 32

5,000(1.25)(1.32)

5,000(0.25)(0.32)

5,000 + 1.25 + 1.32

12. Nadia wants to buy a new computer. The computer is normally sold for $1,200.

On Friday, the computer will be on sale for 40% off.
Nadia also has a coupon for an additional 15% off.

How much will Nadia pay, without tax, if she buys the computer on Friday with the coupon?

$612

$72

$540

$660

13. Which expression can go in the blank to make the statement true?

-8.4 +2.8 + ___ = 0

3.2 + 2.4

9.8 - 3.2

-3.4 - 3

-7.2 + 1.6

14. A principal gathered data about the test grades of students in two classes. The box plot below shows these data.

The interquartile range of the scores of Class B is twice the interquartile range of the scores of Class A.

The range of the scores of Class B is twice the range of the scores of Class A.

The interquartile range of the scores of Class A is 5 less than the interquartile range of the scores of Class B.

The interquartile range of the scores of Class B is 5 less than the interquartile range of the scores of Class A.

15. At midnight, the temperature was $-6^oF$ . At noon, the temperature was $20^oF$ . Which expression represents the increase in temperature?

$20 - 6$

$|-6| - 20$

$-6 - |20|$

$|20 - (-6)|$

16. A spinner with six equal-sized sections was used to play a game.

It was used 400 times in the first game.
Of those 400 times, it landed on section 5 a total of 120 times.
The same spinner was used 300 times in the second game.

How many times did the spinner most likely land on section 5 in the second game?

150

17. Maria surveyed 12 students in her class about the number of books they read last year. Her data is listed below.

1, 1, 2, 4, 4, 5, 5, 5, 6, 10, 10, 12

Which box plot correctly displays her data?

18. The graph below shows the total number of pages read over time, in minutes.

Which statement best describes the meaning of the coordinates of point J on the graph?

It shows the unit rate of the graph in minutes per page.

It shows the unit rate of the graph in pages per minute.

It shows the time, in minutes, it takes to read one page.

It shows the number of pages read after 2 minutes.

19. A computer program displays one of the following numbers at random: 5, 12, or 24.

The computer program randomly displays a number 80 times.
Of those 80 times, a 5 was shown 14 times and a 12 was shown 45 times.

Based on this information, which statement about the likelihood of a 24 being displayed next is true?

A 24 is just as likely as a 5.

A 24 is just as likely as a 5, but not as likely as a 12.

A 24 is just as likely as a 12, but not as likely as a 5.

A 24 is not as likely to appear as a 12.

20. A restaurant needs 1,250 hamburgers. The restaurant only has 845 hamburgers, so more hmburgers need to be ordered. If the hamburgers the restaurant orders only come in packs of 8, what is the minimum number of packs of hamburgers the restaurant has to buy?

300

405

21. If the expression $-6x$ has a negative value, which inequality represents all possible values of $x$ in the expression?

$x \textless 0$

$x \textgreater 0$

$x \leq 0$

$x \geq 0$

22. In the morning, a train traveled 5 miles every 4 minutes. In the afternoon, the train traveled 20 miles every 15 minutes. What was the difference between the morning rate and afternoon rate, in miles per hour?

23. In 1990, the population of fish in a lake was 1,200. From 1990 to 2000, the population increased by 20%. From 2000 to 2010, the population decreased by 12%. What was the population of fish in the lake in 2010?

845

1,124

1,267

1,296

24. Point P is on a number line located at $2\frac{1}{4}$ . The distance between point P and point R is $3 \frac{1}{2}$ units. Which of the following could be the location of point R?

$-1 \frac{1}{4}$

$-\frac{1}{4}$

$5 \frac{1}{4}$

$5 \frac{1}{8}$

25. The measure of one side of a square is $(x+5)$ inches long. Which of the following pairs of expressions both represent the perimeter of this square?

$4(x+5)$ and $4x+20$

$4(x+5)$ and $4x+5$

$(x+5)(x+5)(x+5)(x+5)$ and $x^4+20$

$(x+5)(x+5)(x+5)(x+5)$ and $x^4+625$

26. Shawn is using a map to keep track of his hike. The scale of the map is $1 \frac{1}{4}$ inch to every 2 miles. If the distance on the map left to travel is $4 \frac{1}{2}$ inches, what is the actual number of miles?

$5 \frac{3}{4}$

$7 \frac{1}{5}$

$8 \frac{1}{8}$

$9 \frac{1}{4}$