Free Printable Grade 6 mixed review

1.

Simplify the expression.

a)

2

b)

3

c)

16

d)

32

2.

Simplify the expression.

a)

37

b)

39

c)

41

d)

43

3.

Which proportion is correct?

a)

b)

c)

d)

4.

Which point on the number line below represents a number that is less than -2.5 but greater than -7.5?

a)

point R

b)

point T

c)

point S

d)

point V

5.

What number is equivalent to |-27|?

a)

27

b)

$-27$

c)

$\frac{1}{27}$

d)

$-\frac{1}{27}$

6.

Simplify the expression.

a)

39

b)

52

c)

73

d)

88

7.

Which expression is equivalent to $\left|-11\right|+\left|-3\right|$ ?

a)

$11+3$

b)

$11-3$

c)

$-11+-3$

d)

$-11\ +\ 3$

8.

Which proportion is correct?

a)

$\frac{4}{5}=\frac{7}{15}$

b)

$\frac{7}{15}=\frac{10}{15}$

c)

$\frac{4}{5}=\frac{20}{25}$

d)

$\frac{10}{15}=\frac{20}{25}$

9.

The coordinates of point A are (-6, 4). The coordinates of point B are (3, 4). Which expression represents the distance, in units, between points A and B?

a)

$\left|-6\right|+\left|3\right|$

b)

$\left|3\right|-\left|-6\right|$

c)

$\left|-6\right|+\left|-4\right|$

d)

$\left|4\right|-\left|-6\right|$

10.

Point G is the point (3, -1)

a)

point A

b)

point B

c)

point C

d)

point D

11.

Joshua measures a side of a piece of wood. The length is 8 feet and the width is one-half of the length. What is the area, in square feet, of the piece of wood?

a)

4

b)

16

c)

32

d)

108

12.

18 + 36 $\div$ $3^2$

(a)

13.

What is the prime factorization of 75?

a)

5 $\cdot$ 5 $\cdot$ 5

b)

$2^2$ $\cdot$ $5^2$

c)

3 $\cdot$ $5^2$

d)

$3^{2\ }$ $\cdot$ $5^2$

14.

Which number is being represented by the following tree diagram?

(a)

15.

Which expression is equivalent to 2(4 - x)

a)

8 - x

b)

4 - 2x

c)

8 - 2x

d)

6 - 2x

16.

Which two expressions are equivalent?

a)

(12 $\div$ y) + 3 and 3 + (y $\div$ 12)

b)

(8 - 5) $\div$ y and 8 - (5 $\div$ y)

c)

15 - (y $\cdot$ 4) and 15 - (4 $\cdot$ y)

17.

What does $\frac{1}{2}\times\frac{2}{3}$ =

a)

1/4

b)

1/3

c)

2/6

d)

3/5

18.

$2\div\frac{3}{4}=$

a)

6/8

b)

8/6

c)

$2\ \frac{2}{3}$

d)

$\frac{8}{6}$

19.

Which number in this grouping is the least? 1,-1, 5, -5

a)

1

b)

-1

c)

-5

d)

5

20.

which number is not a factor of 42?

a)

2

b)

3

c)

7

d)

5

21.

$1.25\ \times2.2$ =

a)

2.75

b)

.275

c)

27.5

d)

0.275

22.

What ordered pair is 5 units to the right and 3 units up from the origin?

a)

(-3, -5)

b)

(-3, 5)
(-3, 5)

c)

(5, 3)

d)

(3, 5)

23.

Which axis runs vertically?

a)

x

b)

Y

24.

Theo had a balance of -$4 in his savings account. After making a deposit, he has $25 in his account. What is the overall change to his account?

a)

$29

b)

$25

c)

$24

d)

$30

25.

Is the product
–8 • (–3) positive or negative?

a)

negative

b)

positive

c)

both

d)

neither

26.

3³written as a product of the same factor is

a)

(3)(3)(3)

b)

3

c)

27

d)

9

27.

In -(4)⁵the base is a negative number.

a)

True

b)

False

28.

Write the product using exponents: (-2) ⋅ (-2) ⋅ (-2) ⋅ (-2) ⋅ (-2)

a)

-2⁵

b)

2^-5

c)

(-2)⁵

d)

(-2)^-5

29.

Are these two equivalent: (-2)³ = 2³

a)

Yes

b)

No

30.

What is the constant?
-4 - 9y

a)

-4

b)

4

c)

9

d)

-9

31.

Express the ratio as a fraction in simplest form:
18 ounces to 3 cups

a)

6 to 1

b)

1/6

c)

18/3

d)

3/18

32.

88 students for 4 classes
How many students per class?

a)

22 students per class

b)

22 classes per student

c)

25 students per class

d)

25 classes per student

33.

Jose swims 3 laps in a pool every 2 minutes. How long would it take him to swim 27 laps?

a)

8 minutes

b)

9 minutes

c)

16 minutes

d)

18 minutes

34.

What is the missing number in the ratio table?

a)

72

b)

85

c)

76

d)

90

35.

In a school the ratio of girls to boys is 7 to 5. In the same school the ratio of boys to teachers is 15 to 1. There are 210 girls in the school. Determine the number of teachers and boys.

a)

600 boys, 40 teachers

b)

150 boys, 10 teachers

c)

300 boys, 20 teachers

d)

105 boys, 7 teachers

36.

Mrs. Shelly paid $3 for 6 muffins and Mrs. Kloske paid $9 for 18 muffins.

a)

yes, equivalent

b)

no, not equivalent

37.

A seed company says that 4 out of every 5 of its seeds will grow. If Madi plants 40 of these seeds, then how many seeds is Madi expected to grow? Use an equivalent ratio (proportion) to find the answer.

a)

50

b)

32

c)

10

d)

8

38.

$15 for 5 pairs of socks; $25 for 10 pairs of socks

a)

yes, equivalent

b)

no, not equivalent

39.

In a box of 48 oranges 1 in every 6 oranges are rotten. How many rotten oranges are there?

a)

8

b)

6

c)

12

d)

1

40.

Solve the equation:
-5x = 25

a)

x = 20

b)

x = -20

c)

x = -5

d)

x = 5

41.

3x - 5 = -26

a)

x=-21

b)

x=21

c)

x=-7

d)

x=61

42.

Solve for x:
4x + 1 = 7x - 5

a)

-1

b)

2

c)

6/11

d)

8

43.

Solve for x:
6(2x + 1) = 18

a)

3

b)

17/12

c)

1

d)

2

44.

A toy company spends $1500 per day for factory expenses plus $8 to make each teddy bear. They sell the teddy bears for $12 a piece. Which equation could be used to find the number of bears t the company has to sell in one day to equal its daily cost?

a)

1500 + 8t = 12

b)

12 + 8t = 1500

c)

1500 + 8t = 12t

d)

8t = 12t + 1500

45.

What is the median of the data below?

20 , 3 , 17 , 1 , 5

a)

5

b)

17

c)

19

d)

9.2

46.

What is the mode of the data below?

12 , 14 , 5 , 12 , 5 , 12 , 11

a)

5

b)

12

c)

5 and 12

d)

11.8

Grade 6 mixed review

Total questions: 46

Worksheet time: 2hrs 34mins

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