Free Printable Math Diagnostic Test-Grade 6-8

1.

8.4 - 3.03=

(a)

2.

3.3 + 2.22=

(a)

3.

Calculate
1.08÷4

(a)

4.

18.7 x 6 =

(a)

5.

7.13 x 5.5

(a)

6.

Which is not an integer?

a)

-5

b)

12

c)

0

d)

-1/2

7.

The opposite of a negative is always a ___________

a)

positive

b)

negative

c)

absolute value

d)

inequality

8.

What is true about opposites?

a)

They are on the same side of zero

b)

They are the same distance away from zero.

c)

They are not really opposites

9.

Select all words that could be used to describe a positive integer.

a)

below the surface

b)

above sea level

c)

earned

d)

deposit

10.

Order from least to greatest 3, -8, -10, 6

a)

3, -10, -8, 6

b)

6, 3, -8, -10

c)

-10, -8, 3, 6

d)

-8, -10, 3, 6

11.

What is the ordered pair for point T?

a)

(3, 3)

b)

(3, -3)

c)

(-3, -3)

d)

(- 3, 3)

12.

Which quadrant would the coordinate pair (-3, -2.5) be placed in?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

13.

What is the distance between points (3, -5) and (3, -8)?

a)

1 unit

b)

2 units

c)

3 units

d)

4 units

14.

Find the distance between the two ordered pairs.

a)

-5

b)

9

c)

15

d)

5

15.

In $2^7$ , 7 is the...

a)

base

b)

exponent

16.

Which of the following are equal to $6^3$ ?

a)

3 x 3 x 3 x 3 x 3 x 3

b)

6 x 6 x 6

c)

18

d)

216

e)

729

17.

Which words match the expressions $9\ -\ \left(8\ \div\ 7\right)$

a)

the difference of 9 and 8 divided by 7

b)

the sum of 8 and 7 minus 9

c)

the quotient of 8 and 7 then take away 9

d)

subtract the quotient of 8 and 7 from 9

18.

What does PEMDAS mean?

a)

exponents, parentheses, division, addition, multiplication, subtraction

b)

multiplication, exponents, addition, division, subtraction, parentheses

c)

subtraction, addition, division, multiplication, exponents, parentheses

d)

parentheses, exponents, multiplication, division, addition, subtraction

19.

What will you complete first

8² + 1 x 5 -45

a)

multiply 1 and 5

b)

exponent 8²

c)

find the difference between 5 and 45

d)

add 8²and 1

20.

Evaluate when a = 15:
2(a - 5) + 2

a)

22

b)

27

c)

14

d)

7

21.

8y + 12 - 2z
for y = 4 and z = 2

a)

40

b)

20

c)

84

d)

34

22.

Simplify x + 4 - 5x - 2,

a)

-5x + 2

b)

-5x - 2

c)

-4x + 2

d)

-4x - 2

23.

True or False:

7n=45

if n = 5

a)

True, 7x5 = 45

b)

False, 7x5 = 35

24.

Find the pattern and write the equation.

a)

$y=3x$

b)

$y=x+3$

25.

Use the equation

t=4s+2

to find the value of t when s = 2.

(a)

26.

A recipe uses 5 cups of water, 3 cups of rice and 1 cup of black beans. Select all statements that are true.

a)

There are 3 cups of rice for every 5 cups of water

b)

The ratio of cups of water to cups of black beans is 1:5

c)

The ratio of cups of rice to the total cups of ingredients needed is 3:6

d)

The ratio of cups of rice to the total cups of ingredients needed is 3:9

e)

The ratio of cups of rice to the total cups of ingredients needed is 1:3

27.

Patrick has 2 black, 3 red, and 5 white toy cars. What is the ratio of red toy cars to all the toy cars?

a)

3/5

b)

1/3

c)

3/7

d)

3/10

28.

Find the area?

a)

15 in²

b)

30 in²

c)

15 in

d)

30 in

29.

Find the area of the figure.

a)

10 cm²

b)

24 cm²

c)

12 cm²

d)

20 cm²

30.

What is the volume of this prism?

a)

24 cm³

b)

240 cm³

c)

60 cm³

d)

20 cm³

31.

What is the volume of the cereal box?

a)

23 in³

b)

120 in³

c)

132 in³

d)

288 in³

32.

Identify the net.

a)

square pyramid

b)

cube

c)

hexagonal cube

d)

square

33.

What is the Surface Area?

a)

101.94

b)

110.94

c)

110.49

d)

101.49

34.

The scores awarded to 25 students for an assignment were as follows:
4 7 5 9 8 6 7 7 8 5 6 9 8 5 8 7 4 7 3 6 8 9 7 6 9
What is the mode?

a)

6

b)

7

c)

8

d)

9

35.

What is the range?

a)

average

b)

biggest-smallest

c)

the middle #

d)

# happening the most

36.

What is the minimum value?

a)

64

b)

58

c)

66

d)

61

Math Diagnostic Test-Grade 6-8

Total questions: 36

Worksheet time: 54mins

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