CAMBRIDGE IGCSE MATHS (0580)

Question 1:
Write the following as a single fraction in its simplest form:
\( \frac{x+2}{3} - \frac{2x-1}{4} + 1 \)

Question 2:
Write as a single fraction in its simplest form:
\( \frac{2}{x+3} + \frac{3}{x+2} \)

Question 3:
Write as a single fraction in its simplest form:
\( \frac{x+3}{x-3} - \frac{x-1}{x+1} \)

Question 4:
Write as a single fraction in its simplest form:
\( 3 - \frac{t+2}{t-1} \)

Question 5:
Write as a single fraction in its simplest form:
\( \frac{2}{x} - \frac{2}{x+1} \)

Question 6:
Solve the equation:
\( \frac{3}{2x} + \frac{1}{x+1} = 0 \)

Question 7:
Write as a single fraction in its simplest form:
\( \frac{3}{2x-1} - \frac{1}{x+2} \)

Question 8:
Write as a single fraction in its simplest form:
\( \frac{3}{2x} + \frac{2x}{3} + 3 + 2x \)

Question 9:
Write as a single fraction in its simplest form:
\( \frac{3}{x+2} - \frac{4}{2x-5} \)

Question 10:
Write the following as a single fraction:
a) \( x + \frac{x}{2} \)
b) \( x + \frac{2}{x} \)

Question 11:
Write as a single fraction in its simplest form:
\( \frac{2x-1}{3} - \frac{2}{x+1} \)

Question 12:
Write as a single fraction in its simplest form:
\( \frac{x+1}{x} - \frac{y-1}{y} \)

Question 13:
Write as a single fraction in its simplest form:
\( \frac{3}{x-4} + \frac{2}{2x+5} \)

Question 14:
Write as a single fraction in its simplest form:
\( \frac{5}{x-3} + \frac{3}{x+7} + \frac{1}{2} \)

Question 15:
Write as a single fraction in its simplest form:
\( \frac{1}{y-1} - \frac{1}{y} \)

Question 16:
Write as a single fraction in its simplest form:
\( \frac{x-5}{3} + \frac{6}{x+2} \)

Question 17:
Write as a single fraction in its simplest form:
\( \frac{1}{x} - \frac{1}{x+1} \)

Question 18:
Write as a single fraction in its simplest form:
\( \frac{4x}{5} + \frac{2}{x} \)

Question 19:
Write as a single fraction in its simplest form:
\( \frac{x}{x-2} - \frac{2}{x+2} \)

Question 20:
Write as a single fraction in its simplest form:
\( \frac{3x + 1}{2x} - \frac{x}{3} \)

Question 21:
Write as a single fraction in its simplest form:
\( \frac{x+3}{x-1} + \frac{x+2}{x+1} \)

Question 22:
Write as a single fraction in its simplest form:
\( \frac{5}{x+2} - \frac{4}{x-3} + 1 \)

Question 23:
Write as a single fraction in its simplest form:
\( \frac{2}{x+3} - \frac{4}{x-3} \)

Question 24:
Write as a single fraction in its simplest form:
\( \frac{2x}{x^2 - 4} + \frac{x}{x^2 - 9} \)

Question 25:
Write as a single fraction in its simplest form:
\( \frac{1}{x} + \frac{2}{x+1} - \frac{3}{x-1} \)