Free Printable Skills Check 5A

1.

a)

$\frac{1}{3}$ of $27$ ➔ $9$

b)

$\frac{10}{11}$ of $132$ ➔ $121$

c)

$\frac{2}{3}$ of $27$ ➔ $9$

d)

$10\%$ of $100$ ➔ $1$

e)

$5\%$ of $740$ ➔ $37$

2.

Solve

9x+5=59

a)

$9x=54$

b)

$9x=64$

c)

$x=\frac{54}{9}$
$x=6$

d)

$x=\frac{64}{9}$
$x=7\frac{1}{9}$

3.

Solve $11x-4=-48$

What is the next step?

a)

$11x=-44$

b)

$11x=44$

c)

$11x=-52$

d)

$11x=52$

4.

a)

$2\frac{2}{7}=\frac{16}{7}$

b)

$2\frac{2}{7}=\frac{22}{7}$

c)

$2\frac{2}{7}=\frac{14}{7}$

d)

$\frac{27}{7}=3\frac{6}{7}$

e)

$\frac{27}{7}=3\frac{1}{6}$

5.

a)

$6.7\times1000=6700$

b)

$6.7\times1000=670$

c)

$5.17\div1000=0.00517$

d)

$5.17\div1000=0.0517$

e)

$5.17\div1000=0.517$

6.

$2.3\times10^3\times2\times10^2$

Hint: Multiply the plain numbers together first.

a)

$4.6\times10^5$

b)

$4.6\times10^6$

c)

$4.3\times10^5$

d)

$4.3\times10^6$

7.

$5.4\times10^9\div2\times10^3$

Hint: Divide the plain numbers first.

a)

$2.7\times10^6$

b)

$2.7\times10^3$

c)

$3.4\times10^6$

d)

$3.4\times10^3$

8.

Which of the following factorisations are correct?

a)

$x^2+5x+6\equiv\left(x+3\right)\left(x+2\right)$

b)

$x^2+5x+6\equiv\left(x+6\right)\left(x+1\right)$

c)

$x^2+5x+6\equiv\left(x+5\right)\left(x+6\right)$

d)

$x^2-2x-8\equiv\left(x-4\right)\left(x+2\right)$

e)

$x^2-2x-8\equiv\left(x+4\right)\left(x-2\right)$

9.

Find the gradient of the line through (0, 2) and (3, 14)

Hint: $m=\frac{\Delta y}{\Delta x}$

a)

$m=4$

b)

$m=3$

c)

$m=12$

d)

$m=\frac{1}{4}$

e)

$m=\frac{1}{3}$

10.

Find the gradient of the line through (−2, 2) and (4, 8)

Hint: $m=\frac{\Delta y}{\Delta x}$

a)

$m=1$

b)

$m=3$

c)

$m=6$

d)

$m=2$

e)

$m=\frac{1}{3}$

11.

a)

$4.536\approx4.5$ to 1 dp

b)

$4.536\approx4.6$ to 1 dp

c)

$0.0487\approx0.05$ to 2 dp

d)

$0.0487\approx0.04$ to 2 dp

e)

$0.0487\approx0.049$ to 2 dp

12.

a)

$1.5\times0.4=0.6$

b)

$1.5\times0.4=0.06$

c)

$1.5\times0.4=6$

d)

$8\div0.5=16$

e)

$8\div0.5=4$

13.

a)

$\frac{1}{2}-\frac{1}{5}=\frac{5-2}{10}$

b)

$\frac{1}{2}-\frac{1}{5}=\frac{0}{-3}$

c)

$\frac{1}{3}\times\frac{1}{2}=\frac{1}{6}$

d)

$\frac{1}{3}\times\frac{1}{2}=\frac{2+3}{6}$

14.

Estimate $310\times24$

a)

$\approx300\times20$

b)

$=6000$

c)

$=7200$

d)

$=6200$

e)

$\approx310\times20$

15.

Estimate $\frac{31+65}{9.7}$

a)

$\approx\frac{30+70}{10}$

b)

$=\frac{100}{10}$

c)

$=10$

d)

$=9$

e)

$\approx\frac{30+60}{10}$

16.

Increase £640 by 35%

a)

10% ➔ £64

5% ➔ £32

b)

30% ➔ £192

35% ➔ £224

c)

£640 + £224 = £864

d)

1% ➔ £4.74

e)

135% ➔ £640

17.

Decrease £640 by 35%

a)

10% ➔ £64

5% ➔ £32

b)

30% ➔ £192

35% ➔ £224

c)

£640 − £224 = £416

d)

1% ➔ £4.74

e)

65% ➔ £640

18.

Find the $n^{\text{th}}$ term
2 7 12 17

a)

$5n-3$

b)

$5n+2$

c)

$-3n+5$

d)

$2n+7$

e)

$7n+2$

19.

Find the $n^{\text{th}}$ term
11 23 35 47

a)

$12n-1$

b)

$12n+11$

c)

$12\ -n$

d)

$11n+23$

e)

$11n+12$

20.

Solve $15x-6=9$

What is the next step?

a)

$15x=15$

b)

$15x=3$

c)

$15x=-15$

d)

$15x=-3$

21.

Solve $8x-5=4x+7$
What is the next step?

a)

$4x-5=7$

b)

$12x-5=7$

c)

$8x=4x-12$

d)

$8x=4x+2$

22.

Solve $4x-5=7$
What is the next step?

a)

$4x=12$

b)

$4x=-12$

c)

$4x=2$

d)

$4x=-2$

23.

= 112

a)

4 × (2 + 5) × 4

b)

4 × 2 + 5 × 4

c)

4 × (2 + 5 × 4)

d)

(4 × 2 + 5) × 4

24.

Work out $\frac{4}{11}$ of 77

Which of the following are true?

a)

$\frac{1}{11}$ ➔ 7

b)

$\frac{4}{11}$ ➔ 28

c)

$\frac{4}{11}\times77$ ➔ 28

d)

$0.4\times77=28$

25.

Work out $\frac{9}{13}$ of 182

Which of the following are true?

a)

$\frac{1}{13}$ ➔ 14

b)

$\frac{9}{13}$ ➔ 126

c)

$\frac{9}{13}\times182$ ➔ 126

d)

$0.9\times182=126$

Skills Check 5A

Total questions: 25

Worksheet time: 13mins

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