CAIE IGCSE Mathematics Extended E2.3 Algebr…tions

Covered syllabus points

E2.3.1 Manipulate algebraic fractions E2.3.2 Simplify rational expressions

[Maximum number: 5]

Write as a single fraction in its simplest form.

(a)

$\frac{mp}{25y}\times\frac{15}{m}$

[ 2 ]

$\frac{3p}{5y}$ final answer cao

B1 for $\frac{15p}{25y}$ or $\frac{3mp}{5my}$ final answer or for correct answer spoilt

(b)

$\frac{3}{2x-5}+\frac{4}{x-3}$

[ 3 ]

$\frac{11x-29}{(2x-5)(x-3)}$ final answer
or $\frac{11x-29}{2x^2-11x+15}$ final answer

B1 for 3(x-3)+4(2x-5) or better seen
B1 for common denominator (2x-5)(x-3) oe isw

[Maximum number: 4]

Simplify.

(a)

$\frac{p}{t} \div \frac{2}{t}$

[ 2 ]

$\frac{p}{2}$ final answer

M1 for $\frac{p}{t}\times\frac{t}{2}$ or for cross cancelling of t

(b)

$\frac{3x}{4}-\frac{x-1}{2}$

[ 2 ]

$\frac{x+2}{4}$ or $\frac{x}{4}+\frac12$ final answer

M1 for $\frac{3x-2(x-1)}{4}$ oe
If 0 scored, SC1 for final answer $\frac{x-2}{4}$ oe

[Maximum number: 7]

Write as a single fraction in its simplest form.

(a)

$\frac{5 a}{6} \times \frac{3 b}{a}$

[ 2 ]

$\frac{5b}{2}$ cao final answer

B1 for $\frac{15ab}{6a}$ or better seen

(b)

$\frac{p}{2}+\frac{3 t}{4}$

[ 2 ]

$\frac{2p+3t}{4}$ cao final answer

M1 for adding two correct fractions with a common denominator, e.g. $\frac{4p}{8}+\frac{6t}{8}$

(c)

$\frac{2}{x-2}-\frac{3}{x+1}$

[ 3 ]

$\frac{8-x}{(x-2)(x+1)}\text{ or }\frac{8-x}{x^2-x-2}$
cao final answer

B1 for 2(x+1)-3(x-2) or better isw;
B1 for common denominator (x-2)(x+1) oe isw

All question bank results loaded

CAIE IGCSE Mathematics Extended E2.3 Algebraic Fractions Topic Practice

Covered syllabus points

Question 1

Question (a)

Question (b)

Question 2

Question (a)

Question (b)

Question 3

Question (a)

Question (b)

Question (c)