# Percentage and Decimal Problems (2)

In this worksheet, students solve problems which require knowing the equivalents of those fractions with a denominator of a multiple of 10 or 25.

Key stage:  KS 2

Curriculum topic:   Maths and Numerical Reasoning

Curriculum subtopic:   Decimals

Difficulty level:

### QUESTION 1 of 10

In this worksheet, you must remember that:

1/10 = 0.1 = 10%

2/10 = 0.2 = 20%

3/10 = 0.3 = 30% etc.

1/25 = 0.04 = 4%

1/50 = 0.02 = 2%

Example 1

Jack has £40 and spends 30% of it.

How much does he have left?

30% = 3/10

First, find 3/10 of £40.

1/10 of £40 = £40 ÷ 10 = £4

So 3/10 of £40 = 3 × £4 = £12.

So Jack spends £12 and has £40 - £12 = £28 left.

Example 2

Which is bigger, 4/10 of £100 or 4% of £1000?

1/10 of £100 = £100 ÷ 10 = £10

4/10 of £100 = 4 × £10 = £40

4% = 1/25

1/25 of £1000 = £1000 ÷ 25 = £40

They are the same.

Jack has £400 and spends 30% of it on a bicycle.

How much does the bicycle cost in pounds?

(Just write the number.)

Which is bigger, 6/10 of £100 or 50% of £120?

6/10 of £100

50% of £120

Both the same

There are 30 children in my class.

They each choose their favourite colour.

Half choose red.

20% choose blue.

The rest choose green.

How many children choose green?

Susie is saving up to buy a ticket to go into space. It costs £100 000.

She has saved 40% of the ticket price.

How much more must she save in pounds?

(Just write the number.)

Which is larger?

1/25 or 0.25?

1/25

0.25

Both the same

What is 3/10 of 1000 ml?

(Just write the number of ml without writing ml.)

Choose the fractions, decimals and percentages which are equal to each other.

50%

1/50

5%

0.25

2%

0.2

0.02

60 adults work at a school.

40% are men.

How many are women?

Nikita uses 4/10 of a 500 ml carton of orange juice in a recipe.

Amanda uses 70% of a 300 ml bottle of orange juice.

Who uses more?

Nikita

Amanda

Both the same

There are 15 people in my rugby team.

40% of them went to Twickenham to watch England play.

How many went to Twickenham?

• Question 1

Jack has £400 and spends 30% of it on a bicycle.

How much does the bicycle cost in pounds?

(Just write the number.)

120
EDDIE SAYS
0.3 × 400 = 120
• Question 2

Which is bigger, 6/10 of £100 or 50% of £120?

Both the same
EDDIE SAYS
Both £60
• Question 3

There are 30 children in my class.

They each choose their favourite colour.

Half choose red.

20% choose blue.

The rest choose green.

How many children choose green?

9
EDDIE SAYS
15 red
30 ÷ 5 = 6 blue
30 - 15 - 6 = 9
• Question 4

Susie is saving up to buy a ticket to go into space. It costs £100 000.

She has saved 40% of the ticket price.

How much more must she save in pounds?

(Just write the number.)

60000
60 000
EDDIE SAYS
0.4 × 100 000 = 40 000
100 000 - 40 000 = 60 000
• Question 5

Which is larger?

1/25 or 0.25?

0.25
EDDIE SAYS
0.25 is 1/4 which is larger than 1/25.
• Question 6

What is 3/10 of 1000 ml?

(Just write the number of ml without writing ml.)

300
EDDIE SAYS
0.3 × 1000 = 300
• Question 7

Choose the fractions, decimals and percentages which are equal to each other.

1/50
2%
0.02
EDDIE SAYS
1/50 = 2/100 = 2% = 0.02
• Question 8

60 adults work at a school.

40% are men.

How many are women?

36
EDDIE SAYS
0.4 × 60 = 24 men
60 - 24 = 36 women
• Question 9

Nikita uses 4/10 of a 500 ml carton of orange juice in a recipe.

Amanda uses 70% of a 300 ml bottle of orange juice.

Who uses more?

Amanda
EDDIE SAYS
4/10 of 500 = 0.4 × 500 = 200 ml
70% of 300 = 0.7 × 300 = 210 ml
• Question 10

There are 15 people in my rugby team.

40% of them went to Twickenham to watch England play.

How many went to Twickenham?

6
EDDIE SAYS
20% is 1/5 which is 15 ÷ 5 = 3 people.
40% is double this.
---- OR ----

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