Simultaneous Equations | CIE IGCSE Additional Maths Topic Questions 2025

1a

4 marks

Solve the simultaneous equations

$10^{x + 2 y} = 5$ ,

$10^{3 x + 4 y} = 50$ ,

giving $x$ and $y$ in exact simplified form.

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1b

3 marks

Solve $2 x^{\frac{2}{3}} - x^{\frac{1}{3}} - 10 = 0$ .

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1

3 marks

The line $y = 5 x + 6$ meets the curve $x y = 8$ at the points $A$ and $B$ .

Find the coordinates of $A$ and of $B$ .

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1

6 marks

Solve the simultaneous equations.

$\log_{3} (x + y) = 2$

$2 \log_{3} (x + 1) = \log_{3} (y + 2)$

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Simultaneous Equations (CIE IGCSE Additional Maths)