Free Printable Number GCSE Higher

1.

Write in standard form

3500

a)

$3.5\times10^3$

b)

$35\times10^1$

c)

$3.5\times10^2$

2.

Evaluate, leaving your answer in standard form

\left(1.2\times10^{-2}\right)+\left(2.4\times10^{-1}\right)

a)

$2.52\times10^1$

b)

$2.52\times10^{-1}$

c)

$25.2\times10^{-2}$

3.

Evaluate, leaving your answer in standard form

\left(1.2\times10^3\right)\div\left(2.4\times10^5\right)

a)

$0.5\times10^{-3}$

b)

$5\times10^{-3}$

c)

$5\times10^{-2}$

4.

Joanne buys a car for £5000 and sells it for £2400. What is the percentage loss?

a)

48%

b)

52%

c)

108%

d)

8%

5.

I buy a watch in a sale of 35%. In the sale the watch costs £78. How much did it cost before?

a)

£120

b)

£105.30

c)

£110

d)

£50.70

6.

A pencil measures 14cm to the nearest centimetre. Which is the correct error interval?

a)

$13.5<x\le14.5\$

b)

$13.5<x<14.5\$

c)

$13.5\ge x>14.5$

d)

$13.5\le x<14.5$

7.

A field measures 14m by 12m, both measured to the nearest metre. What is the minimum area?

a)

167.5

b)

168.75

c)

155.25

d)

152.75

8.

A number is 7 when it has been truncated. Which is the correct error interval?

a)

$6.5\le x<7.5$

b)

$7\le x<8$

c)

$6\le x<7$

d)

$7<x<8$

9.

Jack has £45, rounded to the nearest 5 pound. What is the minimum amount of money that he has?

a)

£42.50

b)

£44.50

c)

£40

d)

£47.50

10.

Evaluate
$2\frac{2}{3}+5\ \frac{1}{7}$

a)

$7\ \frac{17}{21}$

b)

$2\ \frac{1}{21}$

c)

$7\ \frac{13}{21}$

11.

In a bag of red and green counters, the ratio of red to green is 2 : 7. If there are 14 red counters, how many green are there?

a)

4

b)

49

c)

53

d)

56

12.

John and Linda share some money in the ratio 8 : 3. If John gets £45 more than Linda, how much does John get?

a)

£72

b)

£27

c)

£99

d)

£32.72

13.

The ratio of red to black is 3 : 4 and the ratio of black to green is 5 : 2. What is the ratio of red to green?

a)

15 : 10

b)

15 : 6

c)

6 : 15

d)

3 : 2

14.

Find 23% of 185

a)

42.55

b)

142.45

c)

227.55

d)

43.75

15.

y is proportional to x. x = 5 when y = 15.

Which is the correct formula?

a)

$y=\frac{75}{x}$

b)

$y=\frac{x}{3\ }$

c)

$y=3x$

d)

$x=3y$

16.

y is inversely proportional to x and y = 12 when x = 3. Which is the correct formula?

a)

$y=4x$

b)

$y=\frac{4}{x}$

c)

$y=36x$

d)

$y=\frac{36}{x}$

17.

y is proportional to x and y = 4 when x = 8. Find y when x = 15

a)

30

b)

7.5

c)

9.2

d)

31

18.

$16^{-\ \frac{1}{2}}$ Calculate

a)

$4$

b)

$\frac{1}{4\ }$

c)

$\frac{1}{8}$

d)

$8$

19.

$\frac{3^5\times3^4}{3^2}$

Simplify

a)

$3^{10}$

b)

$3^{4.5}$

c)

$3^7$

d)

$1^7$

20.

$2^x\times4^2=8^{ }$

What is x?

a)

-1

b)

1

c)

-2

d)

2

Number GCSE Higher

Total questions: 20

Worksheet time: 10mins

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