Free Printable 8th Grade Math Knowledge Test

1.

Maria needs to determine the lengths of the sides of a rectangle. She knows only the perimeter of the rectangle. She also knows the formula for the perimeter of a rectangle is $2l+2w=P$ . Which shows how Maria can rewrite her equation to help her find the possible lengths and widths for any rectangle?

a)

$l=2P-w$

b)

$l+w=\frac{P}{2}$

c)

$l+w=P$

d)

$l+w=2P$

2.

Anna needs to find the height of a triangle. She already knows the area of the triangle. She knows that the formula for finding the area of a triangle is $A=\frac{1}{2}b\times h$ . Which equation shows how she can rewrite this formula to help her find the height of the triangle?

a)

$A-\frac{b}{2}=h$

b)

$h=\frac{A}{2}+\frac{b}{2}$

c)

$h=\frac{Ab}{2}$

d)

$\frac{2A}{b}=h$

3.

The temperature in Nome, Alaska dropped 14°F in one day. Which number line shows this change in temperature?

a)

b)

c)

d)

4.

An item on the sale rack at a local supermarket was marked $3.42. The original price of the item was $4.75. What was the percent of the discount?

(a)

5.

Select the expression that is equivalent to

4\left(3x-2\right)+5

.

a)

$3x-10$

b)

$5x-20$

c)

$8x+3$

d)

$12x-3$

e)

$12x-13$

6.

Select the expression that is equivalent to $\frac{1}{2}\left(6-4x\right)+10$ .

a)

$3x-10$

b)

$5x-20$

c)

$8x+3$

d)

$12x-3$

e)

$12x-13$

7.

Select the expression that is equivalent to $2+3\left(x-4\right)$ .

a)

$3x-10$

b)

$5x-20$

c)

$8x+3$

d)

$12x-3$

e)

$12x-13$

8.

Select the expression that is equivalent to $\frac{3}{5}\left(2x-15\right)+2$ .

a)

$\frac{6x-43}{5}$

b)

$\frac{6}{5}x-7$

c)

$\frac{6}{5}x-13$

d)

$\frac{6x-9}{5}$

9.

Mary buys apples at the store. She paid $1.00, $2.00, $4.00, and $7.00 for apples on four different days. The graph shows the number of pounds Mary got for each amount she paid. One day Mary paid $5.00 for apples at the same store. Using the relationship shown in the graph, how many pounds of apples did Mary buy?

(a)

10.

Tamir gets paid $12 for every day he feeds and walks his neighbor's dog. Write an equation that would represent the relationship between the amount of money Tamir gets paid and the number of days he takes care of the dog.

a)

$d=12+f$

b)

$f=12+d$

c)

$d=12f$

d)

$f=12d$

11.

Melissa is buying a sweater. The original cost of the sweater is $18.00. The sweater is 15% off, and sales tax is 8%. How much will the sweater cost?

a)

$14.08

b)

$12.24

c)

$16.52

d)

$15.30

12.

As a mixed number, 240% is equal to __________.

a)

24

b)

240

c)

2\ \frac{4}{5}

d)

$2\ \frac{2}{5}$

13.

Evaluate if a = 4, b = 6, and c = -3.

$\frac{5ab}{c}$

a)

108

b)

40

c)

-40

d)

33

14.

Seven-tenths of group A prefer chocolate to vanilla ice cream. Four-tenths of group B prefer chocolate to vanilla ice cream. Groups A and B have an equal number of members. If groups A and B were combined, what fraction of the new group would prefer chocolate to vanilla?

a)

$\frac{3}{10}$

b)

$\frac{28}{100}$

c)

$\frac{11}{20}$

d)

$\frac{4}{7}$

15.

Based on the chart, which of the following statements is true?

a)

The same students are tardy each day.

b)

Each day, more boys did not wear their uniform compared to girls.

c)

On the hottest days, most girls did not wear their uniform.

d)

There are more boys not in uniform than girls during the week.

16.

A landscape architect wants to build a raised garden that measures 6 meter long, 2.5 meters wide and 0.5 meters tall. How much potting soil will be needed to fill the garden bed?

a)

9 cubic meters

b)

7.5 cubic meters

c)

17.5 cubic meters

d)

18 cubic meters

17.

Roger wraps presents at a local gift shop. If it takes 1.4 meters of ribbon to wrap a present, how many can he wrap if he has 40 meters of ribbon?

a)

27

b)

28

c)

29

d)

30

18.

Danny rolls two number cubes (dice), one red and one blue. What is the probability that he will roll a 2 on the red cube and a 6 on the blue cube?

a)

$\frac{1}{6}$

b)

$\frac{2}{15}$

c)

$\frac{1}{18}$

d)

$\frac{1}{36}$

19.

A student at a large middle school is planning to survey students about their favorite cafeteria meal. Which of the following would ensure the survey is valid?

a)

choose a sample that represents the student population

b)

only ask friends about their food choices

c)

only ask students about your favorite foods

d)

only ask sixth graders to participate in the survey

20.

Jasmin takes three walks a day. If her walks last 30 minutes, 47 minutes, and 1 hour, respectively, and she walks a total of 4 miles a day, which of the following reflects the approximate pace she walks?

a)

2.25 miles per hour

b)

2.5 miles per hour

c)

1.5 miles per hour

d)

1.25 miles per hour

21.

Current sales tax is 9.25%. You take a friend out for a bowl of pasta ($12), a pizza ($17.50) and two sodas ($2.25 each). How much will the total bill be after sales tax?

a)

$37.15

b)

$35.50

c)

$34

d)

$3.14

22.

A rectangular garden has an area of 432 square feet. The length of the garden is 24 feet. What is the width of the garden?

a)

20 feet

b)

18 feet

c)

24 feet

d)

the answer can not be determined

23.

Joel rolls two dice at the same time. What is the probability that he will roll a sum of eleven?

a)

$\frac{2}{24}$

b)

$\frac{1}{18}$

c)

$\frac{11}{36}$

d)

$\frac{1}{6}$

24.

You are going to a movie, and your friend says it is showing some time on the weekend between noon and 8, but won't say when, exactly.What are the chances it is playing on Sunday between 6 and 8?

a)

12.5%

b)

25%

c)

37.5%

d)

50%

25.

If Ron walks 1/2 mile in a quarter of an hour and Maria walks 1/3 mile in the same time period, how many miles have Ron and Maria walked in 3 hours?

a)

1\ \frac{1}{3}

miles

b)

$4$ miles

c)

$6$ miles

d)

$10$ miles

26.

Joseph weighs 140 lbs. He goes on a diet for four weeks and loses three pounds per week. After those four weeks, he starts to gain back one pound a week for the next three weeks. What is his final weight after those seven weeks?

a)

125 lbs.

b)

138 lbs.

c)

135 lbs.

d)

131 lbs.

27.

$x^6\times x^{10}=$

a)

$x^{60}$

b)

$x^{30}$

c)

$x^{16}$

d)

$x^{-4}$

28.

Simplify the following expression: $10\left(2+3\right)-8\times3$

a)

126

b)

74

c)

26

d)

18

29.

The figure is drawn such that 3cm = 1 mile

What is the distance one would travel between these two locations?

a)

1 mile

b)

3 miles

c)

$\frac{1}{3}$ mile

d)

This can not be determined

30.

In 1954, Great Britain’s Diane Leather was the first to break the 5-minute mile in woman’s track and field. If She ran a mile in 4:59.6, what would be her speed at the half mile mark?

a)

2:30.3

b)

2:29.8

c)

9:59.2

d)

8:30.6

31.

A table top is in the shape of an equilateral triangle. If the perimeter of the table top is 420 cm, what is the length of one side of the table?

a)

140 cm

b)

180 cm

c)

35 cm

d)

105 cm

32.

A restaurant owner spends $892 for 65 pounds of produce. Which equation could you use to find the price per pound?

a)

$892\left(65\right)=x$

b)

$892=\frac{65}{x}$

c)

$892=65x$

d)

$892=65+x$

33.

Simplify the following expression

4\left(x+3\right)+\left(7-4\right)

a)

$15x$

b)

$7x+13$

c)

$4x+15$

d)

$12x+3$

34.

An architect is planning a triangular pool with a perimeter of 99 ft. If two of the sides measure 20 and 42, respectively, what is the length of the missing side?

a)

35 feet

b)

37 feet

c)

39 feet

d)

41 feet

35.

Which of the following formulas can be used to find the area of a circle?

a)

$A=\pi d$

b)

$A=2\pi r$

c)

$A=\pi r^2$

d)

$A=\frac{C}{\pi}$

36.

Simplify the expression

4\left(8x+3\right)+3\left(2x+6\right)

a)

$36x+6$

b)

$38x+30$

c)

$44x+36x$

d)

$80x$

37.

What is the solution?

-10+5

a)

-15

b)

5

c)

-5

d)

15

38.

What is the solution?

-15-6

a)

-21

b)

21

c)

-9

d)

9

39.

What is the solution?

6+\left(-4\right)+3

a)

13

b)

-13

c)

-5

d)

5

40.

There are 42 students in Kim's band class. Of those students, 31 are girls. Which proportion can be used to find x, the percent of students in the class that are boys?

a)

\frac{31}{42}=\frac{x}{100}

b)

$\frac{11}{31}=\frac{x}{100}$

c)

$\frac{31}{11}=\frac{x}{100}$

d)

$\frac{11}{42}=\frac{x}{100}$

8th Grade Math Knowledge Test

Total questions: 40

Worksheet time: 1hrs 13mins

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