Free Printable Skills check 2

1.

$7a+5b-5a-6b$

a)

$2a-b$

b)

$2a+b$

c)

$12a-11b$

d)

$12a+11b$

2.

Which of the following simplify to $14a+b$ ?

a)

$7a+4b+7a-3b$

b)

$9a-2b+5a+3b$

c)

$10a-4b+4a+3b$

d)

$3a+5b+9a-6b$

3.

Select the correct options.

a)

$5\left(7x-1\right)$ multiplies out to $35x-5$

b)

$5\left(7x-1\right)$ multiplies out to $35x-1$

c)

$6\left(2x+7\right)$ multiplies out to $12x+42$

d)

$6\left(2x+7\right)$ multiplies out to $8x+13$

4.

161 × 5

Hint: Multiply by 10. Halve.

a)

805

b)

1610

c)

166

d)

795

5.

23 × 40

Hint: Double. Double. Multiply by 10.

a)

920

b)

92

c)

46

d)

460

6.

18000 m = $x$ km

a)

$x=18$

b)

$x=180$

c)

$x=1.8$

d)

$x=1800$

7.

250 cm = $x$ m

a)

$x=2.5$

b)

$x=25$

c)

$x=0.25$

d)

$x=2500$

8.

Which of the following are true?

a)

$\frac{1}{2}$ of 80 ➔ 40

b)

$\frac{1}{4}$ of 120 ➔ 60

c)

$\frac{1}{2}$ of 80 ➔ 20

d)

$\frac{1}{4}$ of 120 ➔ 30

e)

$\frac{1}{3}$ of 120 ➔ 40

9.

£23.20 + £6.90

a)

£30.10

b)

£29.10

c)

£29.90

d)

£30.90

10.

£80.30 + £41.65

a)

£121.95

b)

£122.05

c)

£122.95

d)

£121.05

11.

£21.55 − £6.60

a)

£14.95

b)

£15.95

c)

£14.15

d)

£15.15

12.

£35.20 − £20.65

a)

£14.55

b)

£14.45

c)

£15.45

d)

£15.55

13.

Work out the value of $\frac{y}{2}$ when $y=12$

a)

6

b)

24

c)

3

d)

8

14.

Work out the value of $6a-7$ when $a=3$

a)

11

b)

56

c)

25

d)

70

15.

Select the correct options.

a)

1.8 × 10 = 18

b)

1.8 × 10 = 180

c)

38.5 × 1000 = 38500

d)

38.5 × 1000 = 385000

16.

$x-3=9$

a)

$x=12$

b)

$x=6$

c)

$x=9$

d)

$x=3$

17.

$x-6=1$

a)

$x=7$

b)

$x=-7$

c)

$x=-5$

d)

$x=5$

18.

Express 0.0000234 in standard form

a)

$2.34\times10^{-5}$

b)

$2.34\times10^{-4}$

c)

$23.4\times10^{-4}$

d)

$234\times10^{-5}$

19.

Express 0.000797 in standard form

a)

$7.97\times10^{-4}$

b)

$7.97\times10^{-3}$

c)

$797\times10^{-5}$

d)

$797\times10^{-4}$

20.

Select the correct options.

a)

$\left(x+2\right)\left(x+3\right)$ multiplies out to $x^2+3x+2x+6$

b)

$\left(x+2\right)\left(x+3\right)$ multiplies out to $x^2+3x+2x+5$

c)

$\left(x+2\right)\left(x+4\right)$ multiplies out to $x^2+4x+2x+8$

d)

$\left(x+2\right)\left(x+4\right)$ multiples out to $x^2+4x+2x+6$

21.

Simplify $x^2+4x+2x+8$

a)

$x^2+6x+8$

b)

$x^2+8x+8$

c)

$7x^2+8$

d)

$15x^2$

22.

Factorise fully $32x-24$

a)

$8\left(4x-3\right)$

b)

$4x\left(8x-6\right)$

c)

$4\left(8x-6\right)$

d)

$2\left(16x-12\right)$

23.

Factorise fully $36x-24$

a)

$12\left(3x-2\right)$

b)

$6\left(6x-4\right)$

c)

$4\left(9x-6\right)$

d)

$3\left(12x-8\right)$

24.

4278 ÷ 31 =

a)

138

b)

1380

c)

13.8

d)

1.38

25.

2405 ÷ 13 =

a)

185

b)

18.5

c)

1.85

d)

1850

26.

Increase £1260 by 10%

a)

1260 × 1.1

b)

1260 ÷ 1.1

c)

= 1386

d)

= 1145

e)

10% 🡆 126

27.

Increase £400 by 10%

a)

400 × 1.1

b)

1260 ÷ 1.1

c)

= 440

d)

= 360

e)

10% 🡆 40

28.

$L$ is 5 cm correct to the nearest cm.
Work out the error interval for $L$

a)

$4.5\le L<5.5$

b)

$4\le L<5$

c)

$4.5>L\ge5.5$

d)

$4>L\ge5$

29.

$L$ is 5 cm truncated to 1 significant figure.
Work out the error interval for $L$

a)

$4.5\le L<5.5$

b)

$5\le L<6$

c)

$4.5>L\ge5.5$

d)

$5>L\ge6$

30.

Find the next 2 terms in the sequence
26, 23, 20, 17

a)

$14$

b)

$11$

c)

$15$

d)

$13$

e)

$12$

31.

Find the next 2 terms in the sequence
1, 2, 4, 8, 16

a)

$32$

b)

$64$

c)

$24$

d)

$48$

e)

$20$

32.

$y=3x-1$

a)

Gradient: $m=3$

b)

y-intercept: $c=-1$

c)

Gradient: $m=-1$

d)

y-intercept: $c=1$

e)

y-intercept: $c=3$

33.

$4y=16x-12$

Hint: Make $y$ the subject (divide everything by 4)

a)

Gradient: $m=4$

b)

y-intercept: $c=-3$

c)

Gradient: $m=-3$

d)

y-intercept: $c=-12$

e)

Gradient: $m=16$

34.

What is the next step?
$\frac{3}{10}+\frac{1}{4}$

a)

$\frac{12+10}{40}$

b)

$\frac{3+1}{10+4}$

c)

$\frac{3}{40}$

d)

$\frac{3}{10}-\frac{4}{1}$

35.

What is the next step?
$\frac{7}{10}-\frac{2}{3}$

a)

$\frac{21-20}{30}$

b)

$\frac{7-2}{10-3}$

c)

$\frac{14}{30}$

d)

$\frac{7}{10}+\frac{3}{2}$

36.

Multiply out
$5(3x-5)+2(3x+2)$

a)

$15x-25+6x+4$

b)

$8x-10+5x+4$

c)

$15x+25+6x+4$

d)

$15x-5+6x+2$

37.

Simplify $15x-24+6x+4$

a)

$21x-20$

b)

$21x-28$

c)

$9x-20$

d)

$9x-28$

38.

What could the next step be?
Solve $5(5x-6)=-67.5$
There are TWO correct answers

a)

$5x-6=-13.5$

b)

$25x-30=-67.5$

c)

$5x-6=-67.5$

d)

$25x-30=-13.5$

39.

What could the next step be?
Solve $4(3x+5)=2$
There are TWO correct answers

a)

$12x+20=2$

b)

$3x+5=\frac{2}{4}$ $\left(=\frac{1}{2}\right)$

c)

$12x+5=2$

d)

$3x+5=8$

40.

Work out 21 × £9.40

a)

£197.40

b)

£19.74

c)

£1974

d)

£19740

41.

Work out £798 ÷ 14

a)

£57

b)

£5.70

c)

£570

d)

57p

42.

a)

A = 2

b)

A = 1 and 4

c)

B = 5

d)

B = 20

e)

B = 1

43.

a)

$2^2\times5$

b)

$2\times2\times5$

c)

$4\times5$

d)

$2\times5^2$

44.

a)

$2^3\times3\times5$

b)

$2\times3^2\times5$

c)

$2\times3\times3\times5$

d)

$2\times2\times2\times3\times5$

45.

a)

A = 2

b)

A = 3

c)

B + C = 8

d)

B + C = 16

e)

A = 1

46.

Find the n^th term of the following sequence:

8 18 28 38 48

a)

$10n-2$

b)

$2n-10$

c)

$10n-8$

d)

$10n+8$

47.

The $n^{\text{th}}$ term of a sequence is $4n-2$
Find the $8^{\text{th}}$ term.

a)

30

b)

32

c)

34

d)

46

48.

Work out 60% of £980.
Select the correct next steps.

a)

0.6 × 980

b)

10% 🡆 £98

c)

50% 🡆 £490

d)

0.6 ÷ 980

49.

Work out 80% of £120.
Select the correct next steps.

a)

0.8 × 120

b)

10% 🡆 £12

c)

50% 🡆 £60

d)

120 ÷ 0.8

50.

Select the correct options.

a)

0.13 litres > 350 millilitres

b)

0.13 litres < 350 millilitres

c)

0.3 litres > 380 millilitres

d)

0.3 litres < 380 millilitres

51.

Work out the value of $19-a$ when $a=3$

a)

16

b)

−16

c)

22

d)

−22

52.

Work out the value of $\frac{c}{8}$ when $c=56$

a)

7

b)

5

c)

6

d)

8

53.

Select the correct options.

a)

0.07 × 0.5 = 0.035

b)

0.07 × 0.5 = 0.0035

c)

0.7 × 0.5 = 0.35

d)

0.7 × 0.5 = 0.035

54.

Simplify 100 mm : 110 cm

Hint: Watch out for the units.

a)

1 : 11

b)

10 : 11

c)

50 : 55

d)

5 : 55

55.

Simplify 1.1 kg : 2200 g

Hint: Watch out for the units.

a)

1 : 2

b)

1 : 20

c)

1 : 200

d)

1 : 2000

Skills check 2

Total questions: 55

Worksheet time: 14hrs 45mins

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