Edexcel IGCSE Math A 1.2 Fractions Question Bank

Practise simplifying, converting and calculating with fractions, including mixed numbers, decimals and fractions of amounts.

Exam points

simplify fractions or identify equivalent fractions using numerator and denominator relationships
convert between improper fractions, mixed numbers and decimals where required
calculate fractions of quantities and combine fractions using common denominators

Covered syllabus points

1.2.A Equivalent fractions and simplest form 1.2.B Mixed numbers and vulgar fractions 1.2.C Common denominators 1.2.D Ordering fractions and fractions of quantities 1.2.E Express a given number as a fraction of another number 1.2.F Adding and subtracting fractions 1.2.G Fractions, decimals and percentages 1.2.H Unit fractions as multiplicative inverses 1.2.I Multiplying and dividing fractions

[Maximum number: 4]

A box contains only
9 red bricks
43 blue bricks and some yellow bricks
$\frac{7}{20}$ of the bricks are yellow bricks.
Each brick weighs 35 grams.
Work out the total weight of the yellow bricks.
grams

Not yellow:
9+43=52 $\frac{13}{20}\text{ of the bricks}=52 \quad\Rightarrow\quad \text{total}=80$
Yellow bricks:
80-52=28
Weight:
$28\times35=980$

Final answer:
$980\text{ g}$

M1 for a correct first step, such as $1-\frac7{20}=\frac{13}{20}$ or using the ratio 7:13. M1 for finding the number of yellow bricks. A1 for 980 g.

[Maximum number: 3]

Show that $3 \frac{5}{7}+1 \frac{2}{3}=5 \frac{8}{21}$

$3\frac57=\frac{26}{7},\qquad 1\frac23=\frac{5}{3}$ $\frac{26}{7}+\frac{5}{3} =\frac{78}{21}+\frac{35}{21} =\frac{113}{21} =5\frac{8}{21}$

M1 for correct improper fractions or suitable common-denominator fractional parts. M1 for correct addition with a common denominator. A1dep for a fully correct shown result.

[Maximum number: 3]

Show that $2 \frac{1}{4} \times 1 \frac{5}{7}=3 \frac{6}{7}$

$2\frac14=\frac94,\qquad 1\frac57=\frac{12}{7}$ $\frac94\times\frac{12}{7} =\frac{108}{28} =\frac{27}{7} =3\frac67$

Shown.

Working is required. Decimals score no marks unless used only as a check.

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Covered syllabus points

1.2 Fractions question 1

1.2 Fractions question 2

1.2 Fractions question 3