 # Percentage and Decimal Problems (1)

In this worksheet, students solve problems which require knowing the equivalents of a half, quarters and fifths. Key stage:  KS 2

Curriculum topic:   Number: Fractions, Decimals and Percentages

Curriculum subtopic:   Solve Percentage/Decimal Problems

Difficulty level:   ### QUESTION 1 of 10

In this worksheet, you must remember that:

1/2 = 0.5 = 50%

1/4 = 0.25 = 25%

3/4 = 0.75 = 75%

1/5 = 0.2 = 20%

2/5 = 0.4 = 40%

3/5 = 0.6 = 60%

4/5 = 0.8 = 80%

Example 1

Jack has £30 and spends 40% of it.

How much does he have left?

40% = 2/5

First, find 2/5 of £30.

1/5 of £30 = £30 ÷ 5 = £6

So 2/5 of £30 = 2 × £6 = £12.

So Jack spends £12 and has £30 - £12 = £18 left.

Example 2

Which is bigger, 3/4 of £100 or 80% of £90?

1/4 of £100 = £100 ÷ 4 = £25

3/4 of £100 = 3 × £25 = £75

80% = 4/5

1/5 of £90 = £90 ÷ 5 = £18

4/5 of £90 = 4× £18 = £72

£75 is bigger than £72.

So 3/4 of £100 is bigger than 80% of £90.

Jack has £80 and spends a quarter of it.

How much does he have left in pounds?

(Just write the number without the £ sign.)

Which is bigger, 1/4 of £100 or 20% of £120?

1/4 of £100

20% of 120

both the same

Which is bigger, 35% or 3/5?

35%

3/5

both the same

Fatima drives from London to Edinburgh, a journey of 420 miles.

She stops for lunch after she has driven 2/5 of the way.

How many miles has she driven before stopping for lunch?

(Just write the number.)

What is 3/4 of 1000 ml?

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

Bill uses 50% of a 250 g packet of butter in a recipe.

How many grams of butter are left?

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

Which decimal is equal to 80%?

80.0

0.8

0.08

Look at this rectangle.

Match the colours to the numbers to show how the whole rectangle has been divided into colours.

 green yellow red

## Column B

green
30%
yellow
0.5
red
1/5

Romeo is saving up for a bicycle that costs £200.

So far he has saved 25% of the cost of the bicycle.

How much more must he save in pounds?

(Just write the number.)

Jane drinks 1/4 of a 500 ml bottle of orange juice.

Bill drinks 2/5 of a 300 ml can of lemonade.

Who drinks more?

Jane

Bill

Both the same

• Question 1

Jack has £80 and spends a quarter of it.

How much does he have left in pounds?

(Just write the number without the £ sign.)

60
EDDIE SAYS
He spends 1/4 of £80 = 80 ÷ 4 = £20.
He has £80 - £20 = £60 left.
• Question 2

Which is bigger, 1/4 of £100 or 20% of £120?

1/4 of £100
EDDIE SAYS
1/4 of £80 = 100 ÷ 4 = £25
20% = 1/5
1/5 of £120 = 120 ÷ 5 = £24
• Question 3

Which is bigger, 35% or 3/5?

3/5
EDDIE SAYS
3/5 = 0.6 = 0.60 = 60%
• Question 4

Fatima drives from London to Edinburgh, a journey of 420 miles.

She stops for lunch after she has driven 2/5 of the way.

How many miles has she driven before stopping for lunch?

(Just write the number.)

168
EDDIE SAYS
1/5 of 420 miles = 420 ÷ 5 = 84 miles
2 × 84 miles = 168 miles
• Question 5

What is 3/4 of 1000 ml?

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

750
EDDIE SAYS
1/4 of 1000 ml = 1000 ÷ 4 = 250 ml
3 × 250 ml = 750 ml
• Question 6

Bill uses 50% of a 250 g packet of butter in a recipe.

How many grams of butter are left?

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

125
EDDIE SAYS
1/2 of 250 g = 125 g
1/2 is used and 1/2 is left.
• Question 7

Which decimal is equal to 80%?

0.8
EDDIE SAYS
80% = 80/100 = 8/10 = 0.8
• Question 8

Look at this rectangle.

Match the colours to the numbers to show how the whole rectangle has been divided into colours.

 green yellow red

## Column B

green
30%
yellow
0.5
red
1/5
EDDIE SAYS
green = 3/10 = 30%
yellow = 5/10 = 0.5
red = 2/10 = 1/5
• Question 9

Romeo is saving up for a bicycle that costs £200.

So far he has saved 25% of the cost of the bicycle.

How much more must he save in pounds?

(Just write the number.)

150
EDDIE SAYS
25% is 1/4.
1/4 of £200 = 200 ÷ 4 = £50
He has £200 - £50 = £150 to go.
• Question 10

Jane drinks 1/4 of a 500 ml bottle of orange juice.

Bill drinks 2/5 of a 300 ml can of lemonade.

Who drinks more?

Jane
EDDIE SAYS
1/4 of 500 ml = 500 ÷ 4 = 125 ml
2/5 of 300 ml = 300 ÷ 5 × 2 = 120 ml
---- OR ----

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