Cambridge Essentials Mathematics Core 8 N2.3 Homework1

/ N2.3 Homework1

1Write each percentage as a fraction in its simplest form.

a20%b32%c55%

d84%e7%f2.5%

2Write each decimal as a percentage.

a0.75b0.13c0.04d0.235e0.018f2.46

3Grace asked 40 pupils in her year to name their favourite fruit.
Her results are shown in the table.

Apple / Pear / Strawberry / Melon / Banana
12 / 7 / 10 / 5 / 6

aWork out what fraction of the group chose each type of fruit.
Write each fraction in its simplest form.

bWhat percentage of the group chose each type of fruit?

4Harry used his calculator to change to a percentage.
He said ‘To the nearest percent, is 14%’.
His friend Dan said ‘So to the nearest percent, is 28%’.

Show that Dan is wrong.

5Work out each amount by changing the percentage to a fraction.

a15% of 60b36% of 25c22% of 65

d7% of 120e40% of 80f9% of 56

6Find these amounts without using the % key on your calculator

a38% of £75b42% of 15 mc54% of 125km

d3.5% of 620kge125% of 78gf17% of 338m

g7.1% of £5500h37.5% of 88mm

7Sophie said that 40% of £60 is the same as 60% of £40.

Is she correct? Explain how you decided.

8Jim decides to dig up 15% of his garden to make a vegetable plot.

aWhat is the area of the garden?

bWhat is the area of the vegetable plot?

9Work out these percentages. You may use a calculator.

a36 as a percentage of 75

b16 as a percentage of 80

c45 as a percentage of 120

10The flag of the United States of America has 13 stripes and 50 stars.
The stripes represent the 13 original states.
The stars represent all the states ofAmerica (including the 13 original ones).

aWrite the number of original states as a fraction of all the states.

bWrite your answer to part a as a percentage.

11Work out these percentages.

a30p as a percentage of £6

b12cm as a percentage of 2.5m

c300ml as a percentage of 4litres

d24minutes as a percentage of 5 hours

e650kg as a percentage of 2 tonnes