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iGCSE (2021 Edition)

2.01 Name, identify, order, and compare fractions

Worksheet
Understand fractions
1

For each of the following fractions:

i

State the numerator.

ii

State the denominator.

a
\dfrac{8}{9}
b
\dfrac{3}{7}
c
\dfrac{22}{50}
d
\dfrac{10}{3}
e
\dfrac{15}{25}
f
\dfrac{16}{72}
g
\dfrac{1}{2}
h
\dfrac{5}{2}
2

Write the following fractions in words:

a
\dfrac{1}{2}
b
\dfrac{3}{4}
c
\dfrac{1}{10}
d
\dfrac{5}{100}
e
\dfrac{2}{3}
f
\dfrac{5}{8}
g
1\dfrac{2}{4}
h
3\dfrac{6}{18}
3

Write the following as fractions:

a

One quarter

b

Two quarters

c

Three eighths

d

Sixteen hundredths

e

One third

f

Two ninths

g

One and five tenths

h

Six and three fifths

Identify fractions
4

What fraction of the following shapes is shaded?

a
b
c
d
e
f
g
h
5

What fraction is plotted on each of the following number lines?

a
01
b
01
c
01
d
01
e
01
f
01
g
01
h
01
Improper fractions and mixed numbers
6

For each group of shapes below:

i

Write the fraction that is shaded as a mixed number.

ii

Write the fraction that is shaded as an improper fraction.

a
b
c
d
e
f
g
h
7

What number is plotted on the following number lines? Give your answer as a mixed number.

a
34
b
34
c
0123
d
2345
e
23
f
12
g
789
h
45
8

What number is plotted on the following number lines? Give your answer as an improper fraction.

a
012
b
0123
c
12
d
45
e
78
f
567
g
910
h
34
Comparing fractions
9

Which fraction is bigger, one third or one half?

10

Which fraction is smaller, one fourth or one fifth?

11

For the each of the following pairs of fractions, state which fraction is bigger:

a

\dfrac{7}{10}, \quad \dfrac{3}{10}

b

\dfrac{1}{4}, \quad \dfrac{1}{5}

c

\dfrac{6}{7}, \quad \dfrac{2}{3}

d

1\dfrac{2}{5}, \quad 1\dfrac{1}{5}

e

\dfrac{34}{9}, \quad \dfrac{32}{9}

f

\dfrac{11}{8}, \quad \dfrac{3}{8}

g

1\dfrac{1}{3}, \quad \dfrac{2}{3}

h

\dfrac{1}{5}, \quad \dfrac{4}{5}

i

\dfrac{1}{5}, \quad \dfrac{1}{6}

j

\dfrac{6}{7}, \quad \dfrac{7}{8}

k

\dfrac{3}{2}, \quad \dfrac{16}{9}

l

\dfrac{23}{18}, \quad \dfrac{31}{24}

m

\dfrac{5}{9}, \quad \dfrac{9}{16}

n

\dfrac{5}{3}, \quad \dfrac{8}{10}

o

\dfrac{34}{3}, \quad \dfrac{130}{12}

p

\dfrac{18}{11}, \quad \dfrac{8}{5}

12

For each of the following groups of fractions, arrange them from smallest to largest:

a
\dfrac{6}{7},\enspace \dfrac{5}{7}, \enspace \dfrac{2}{7}
b
1\dfrac{3}{7},\enspace \dfrac{5}{7},\enspace 3\dfrac{2}{7}
c
\dfrac{3}{8},\enspace \dfrac{3}{4},\enspace \dfrac{3}{7}
d
\dfrac{1}{2},\enspace \dfrac{2}{3},\enspace \dfrac{3}{8}
e
\dfrac{3}{10},\enspace \dfrac{3}{5},\enspace \dfrac{3}{7}
f
3\dfrac{3}{7},\enspace \dfrac{6}{7},\enspace 1\dfrac{4}{7}
g
1\dfrac{3}{4},\enspace 1\dfrac{5}{6},\enspace \dfrac{7}{9}
h
2\dfrac{1}{10},\enspace 2\dfrac{2}{15},\enspace 2\dfrac{3}{20}
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Outcomes

0580C1.5A

Use the language and notation of simple vulgar and decimal fractions in appropriate contexts.

0580C1.6

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

0580E1.5A

Use the language and notation of simple vulgar and decimal fractions in appropriate contexts.

0580E1.6

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

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