Free Printable Yr 8: Factors and Powers (End of Unit Test)

1.

Write 140 as a product of prime factors

a)

$2^2\times5\times7$

b)

$2\times5^2\times7$

c)

$2\times5\times7^2$

d)

$2\times5\times7$

2.

Write 504 as a product of prime factors

a)

$2^2\times3^3\times7$

b)

$2^2\times3^2\times7$

c)

$2^3\times3^2\times7$

d)

$2^2\times3^2\times7^2$

3.

Write this calculation as a single power: $5^8\times5\times5^3$

a)

$5^{12}$

b)

$5^{11}$

c)

$5^5$

d)

$5^3$

4.

Write this calculation as a single power: $10^9\div10^5$

a)

$10^4$

b)

$10^{13}$

c)

$10^{45}$

d)

$10^{-4}$

5.

Write this calculation as a single power: $\left(3^5\right)^4$

a)

$3^9$

b)

$3^1$

c)

$3^5$

d)

$3^{20}$

6.

Work out $\left(-6\right)^2$

(a)

7.

Work out $7^2-\left(-4\right)^2-\left(-3\right)^2$

(a)

8.

Work out the HCF of 140 and 504

(You can use your anwers in Q1 and Q2 to help you)

(a)

9.

Work out the LCM of 140 and 504

(You can use your anwers in Q1 and Q2 to help you)

(a)

10.

Work out

\frac{\left(2^2\times7\right)^2}{\left(9\times7\right)^0}

(a)

11.

Work out $\frac{\left(3\times4\right)^2}{2^2\times9}$

(a)

12.

Work out $\frac{\left(6\times2\times8\right)^2}{4^3\times3}$

(a)

13.

$478231$ Round this number to 2.s.f

(a)

14.

$0.05299$ Round this number to 1.s.f

(a)

15.

Estimate the answer to this calculation by rounding each number to 1 s.f. $765\times38$

(a)

16.

Estimate the answer to this calculation by rounding each number to 1 s.f. $4324\div53$

(a)

17.

$1.28\times10^5$

Write as an ordinary number

(a)

18.

$456000$

Write as a scientific number/ standard form

a)

$456\times10^3$

b)

$45.6\times10^4$

c)

$4.56\times10^5$

d)

$4.56\times10^3$

19.

$1.08\times10^{-5}$

Write as an ordinary number

(a)

20.

Work out $\frac{2^8\times16\times32\times7}{8\times2^{10}}$

(a)

Yr 8: Factors and Powers (End of Unit Test)

Total questions: 20

Worksheet time: 26mins

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