Free Printable 6th Grade Math Review

1.

Which of the following points is graphed at the opposite of -3 on the number line?

a)

A

b)

B

c)

C

d)

D

2.

Candice recorded outdoor temperatures of -5^oC, -1^oC, and -2^oC. Which of the following correctly compares the three temperatures?

a)

-5 < -1 < -2

b)

-1 < -2 < -5

c)

-2 < -1 < -5

d)

-5 < -2 < -1

3.

Which of the following pairs shows an integer and its opposite?

a)

7, -7

b)

7, $\frac{1}{7}$

c)

-7, $-\frac{1}{7}$

d)

$-\frac{1}{7},\ \frac{1}{7}$

4.

What number has the same absolutes value as -5?

a)

$-\frac{1}{5}$

b)

$\frac{1}{5}$

c)

0

d)

5

5.

What is the greatest common factor of 30 and 45?

a)

1

b)

5

c)

15

d)

30

6.

What is the least common multiple of 16 and 24?

a)

4

b)

16

c)

24

d)

48

7.

Jason plotted points on a number line at the four values listed. Which of these values is farthest from zero?

a)

0.75

b)

$-\frac{2}{3}$

c)

-0.4

d)

$\frac{7}{8}$

8.

Which number line shows the values on |1|, |-3|, |-4|, |5|?

a)

b)

c)

d)

9.

Which of the following expression is equivalent to the expression $\frac{4}{7}\times\frac{5}{9}$ ?

a)

$\frac{5}{9}\div\frac{4}{7}$

b)

$\frac{4}{7}\div\frac{5}{9}$

c)

$\frac{4}{9}\div\frac{5}{7}$

d)

$\frac{4}{7}\div\frac{9}{5}$

10.

Leah cut a $7\ \frac{1}{2}$ inch piece of ribbon into pieces that were $\frac{3}{4}$ of an inch long. How many pieces of ribbon did she cut?

a)

6 pieces

b)

9 pieces

c)

10 pieces

d)

15 pieces

11.

Jonas is making a trail mix recipe that calls for $3\ \frac{1}{2}$ cups of nuts and $1\ \frac{1}{2}$ cups of raisins. Jonas mixes the nuts and raisins together. He will then divide the mixture into plastic bags containing $\frac{1}{4}$ cup of train mix in each bag. How many bags does Joans need?

a)

1

b)

5

c)

20

d)

50

12.

Gabriel drives 80 kilometers in one hour. If he drives at the same speed, how many kilometers can he drive in 3.75 hours?

a)

24.75 km

b)

30 km

c)

80.75 km

d)

300 km

13.

How many 0.4 liter glasses or water in contained in a 5.2 liter pitcher?

a)

1.3 glasses

b)

13 glasses

c)

13.4 glasses

d)

52 glasses

14.

Alissa's budget is shown in the circle graph. Her total monthly budget is $1,500. How much does Alissa spend on rent?

a)

$250

b)

$300

c)

$450

d)

$500

15.

There are 7 boys and 21 girls in Evan's math class. What is the ratio of boys to total students in the class?

a)

1:3

b)

1:4

c)

7:21

d)

7:28

16.

Sara bought a 16 ounce jar of strawberry jam for $3.20. What is the unit price?

a)

$0.02/oz

b)

$0.50/oz

c)

$0.20/oz

d)

$5.00/oz

17.

The table shows the number of books on shelves at a library. Which of the following represents the number of books?

a)

shelves x 3

b)

shelves x 21

c)

shelves + 28

d)

shelves + 40

18.

On a map, 1.25 inches represents 20 miles. Longwood and Milltown are 5 inches apart on this map. What is the actual distance between Longwood and Milltown?

a)

20 miles

b)

25 miles

c)

80 miles

d)

100 miles

19.

What percent of the rectangle is shaded?

a)

20%

b)

30%

c)

40%

d)

60%

20.

What is the value of the expression $205-\left(7-2\right)^3\div5$ ?

a)

16

b)

36

c)

40

d)

180

21.

Which of the following expression is equivalent to the expression $2\left(7x+3-x\right)$ ?

a)

$12x+6$

b)

$14x+6$

c)

$17x-2$

d)

$11x+3$

22.

What is the solution to the equation $m-9=4$ ?

a)

$m=-5$

b)

$m=-13$

c)

$m=5$

d)

$m=13$

23.

Which inequality is shown on the number line?

a)

$p<2$

b)

$p\le2$

c)

$p>2$

d)

$p\ge2$

24.

Evaluate the expression when $x=4$
$6\left(x+7\right)$

a)

24

b)

31

c)

42

d)

66

25.

Which equation expresses y in terms of x?

a)

y = 90x

b)

y = 180x

c)

x = 90y

d)

x = 2y

26.

Which equation represents Bike B?

a)

y = 60x

b)

y = 10x

c)

y = 60x

d)

y = 80x

27.

A parallelogram has a base of 16 centimeters and a height of 4 centimeters. What is the area of the parallelogram?

a)

16 cm²

b)

32 cm²

c)

64 cm²

d)

128 cm²

28.

What is the area of the trapezoid?

a)

216 m²

b)

246 m²

c)

2,484 m²

d)

4,968 m²

29.

Charlene is wrapping the box below. How much wrapping paper will she need?

a)

90 in²

b)

153 in²

c)

286 in²

d)

315 in²

30.

What is the area of the polygon?

a)

112 cm²

b)

136 cm²

c)

160 cm²

d)

255 cm²

6th Grade Math Review

Total questions: 30

Worksheet time: 2hrs 26mins

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