topic badge
iGCSE (2021 Edition)

4.01 Converting between percentages, fractions, and decimals

Worksheet
Percentages
1

What does the \% symbol mean when placed after a number?

2

Fill in the blanks to make the following statements true:

a

29\% is equivalent to 29 out of .

b

53\% is equivalent to out of 100.

3

Given the grids below, answer the following:

i

How many squares are shaded?

ii

What percentage of the grid is shaded?

iii

What fraction of the grid does this percentage represent?

a
b
Converting from percentages
4

Write the following as fractions in their simplest form:

a

68\%

b

13\%

c

55\%

d

275\%

e

37\%

f

94\%

g

450\%

h

2.5\%

5

Write the following as decimals:

a

54\%

b

60\%

c

270\%

d

303\%

e

76\%

f

500\%

g

182\%

h

6897\%

Converting to percentages
6

For each of the following fractions:

i

Write an equivalent fraction with a denominator of 100.

ii

Write it as a percentage.

a
\dfrac{5}{10}
b
\dfrac{9}{300}
c
\dfrac{1}{8}
d
\dfrac{45}{200}
7

Write the following as percentages:

a

\dfrac{83}{100}

b

1\dfrac{4}{5}

c

\dfrac{42}{100}

d

\dfrac{39}{60}

e

\dfrac{93}{150}

f

\dfrac{21}{35}

g

3\dfrac{7}{10}

h

2\dfrac{9}{50}

8

Consider the fraction \dfrac{2}{3}.

a

Is there an equivalent fraction that has a denominator of 100, and a whole number as its numerator?

b

What is the closest whole percent to \dfrac{2}{3}?

9

For each of the following pairs, either identify that they are the same or state which number is larger:

a

\dfrac{1}{8},\quad 13\%

b

\dfrac{4}{25},\quad 16\%

c

\dfrac{63}{90},\quad 70\%

d

\dfrac{1}{3},\quad 27\%

10

Write the following as a percentages:

a

0.24

b

1.1

c

0.857

d

8

e

1.71

f

24

g

13.04

h

0.041

Comparing different values
11

When converting a fraction or decimal to a percentage, why is it necessary to multiply by 100\%?

12

When converting from percentage to a fraction or decimal, why is it necessary to divide by 100\%?

13

Convert between percentages, fractions and decimals to complete the table:

FractionDecimalPercentage
\dfrac{11}{100}
1.83
\dfrac{5}{8}
14

Express the following as both a fraction and a decimal:

a

80\%

b

47\dfrac{1}{2}\%

15

For the following groups of numbers:

i

Rewrite the group as percentages

ii

Hence, order the original group from smallest to largest.

a
\dfrac{5}{10},\quad 100\%,\quad 0.3
b
\dfrac{1}{4},\quad 60\%,\quad 0.3
c
\dfrac{3}{8},\quad 20\%,\quad 0.8
d
\dfrac{3}{15},\quad 45\%,\quad 0.27
Sign up to access Worksheet
Get full access to our content with a Mathspace account

Outcomes

0580C1.5C

Recognise equivalence and convert between fractions, decimals and percentages.

0580C1.6

Order quantities by magnitude and demonstrate familiarity with the symbols =, ≠, >, < , ⩾, ⩽ .

0580E1.5C

Recognise equivalence and convert between fractions, decimals and percentages.

0580E1.6

Order quantities by magnitude and demonstrate familiarity with the symbols =, ≠, >, < , ⩾, ⩽.

What is Mathspace

About Mathspace