Free Printable Diagnostic test

1.

Find the HCF of 12 and 16...

a)

2

b)

4

c)

6

d)

8

2.

Derek advises a patient to have a scale every 4 months and a polish every 6 months. If they have a scale and polish today, how long will they wait before they can have both during the same appointment?

a)

HCF

b)

LCM

3.

Rosa is making a game board that is 16 inches by 24 inches. She wants to use square tiles. What is the larges tile she can ued?

a)

8

b)

16

c)

24

d)

48

4.

Mrs. Evans has 120 crayons and 30 pieces of paper to give to her students. What is the largest number of students she can have in her class so that each student gets equal number of crayons and equal number of paper.

a)

120 students

b)

60 students

c)

30 students

5.

Find the LCM of 10 and 12...

a)

80

b)

40

c)

60

d)

120

6.

-18 +(-6)

a)

3

b)

-3

c)

-12

d)

-24

7.

-32/8

a)

-4

b)

-5

c)

4

d)

24

8.

Solve
-4 x -2 x -5 =

a)

40

b)

-40

c)

-28

9.

Choose the correct symbol:
(-3) + (-6) _______ (-3) - (-6)

a)

<

b)

>

c)

=

d)

None of the above

10.

What do you get when you multiply a negative by a positive?

a)

Positive

b)

Negative

11.

What do you get when you multiply a negative by zero?

a)

Positive

b)

Negative

c)

Zero

12.

Solve and Simplify (no exponent)

3^{-4}\times3^3

a)

$\frac{1}{3^1}$

b)

$3^{-1}$

c)

$\frac{1}{3}$

d)

$\frac{1}{2187}$

13.

Solve and Simplify (no exponent)

\left(2\cdot3\right)^2

a)

$36$

b)

$12$

c)

$24$

d)

$\frac{1}{36}$

14.

Solve and Simplify (no exponent)

3^3\cdot3^4

a)

$3^7$

b)

$2187$

c)

$3$

d)

$4$

15.

Simplify $\frac{m^{12}}{m^3}$

a)

m^12-3 = m⁹

b)

m^12/3= m⁴

c)

m^-9

d)

-m⁹

16.

Simplify the exponential expression $\frac{20x^7}{10x^5}$

a)

10x^-2

b)

2x²

c)

2x¹²

d)

10x¹²

17.

(3y⁴)²

a)

9y⁸

b)

9y⁶

c)

6y⁸

d)

6y⁶

18.

Find the HCF of 40 and 60?

a)

10

b)

20

c)

30

d)

None of the above

19.

Melanie and Martin are both building a toy train track out of connecting pieces. Melanie has pieces that are 8 inches long while Martin's pieces are 20 inches long. How long will the shortest track be that they can each build with the same length?

a)

2

b)

40

c)

4

d)

20

20.

LCM of 3 and 5 is...

a)

1

b)

3

c)

5

d)

15

Diagnostic test - G8

Total questions: 20

Worksheet time: 32mins

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