Simultaneous Equations | Cambridge O Level Maths Calculator Questions 2025

1

4 marks

Solve the simultaneous equations.
You must show all your working.

$2 x + 3 y = - 12 5 x + 2 y = 14$

$x$ = ................................................
$y$ = ................................................

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1

3 marks

Solve the simultaneous equations.
You must show all your working.

$\frac{1}{2} x - 3 y = 9 5 x + y = 28$

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1

6 marks

Marco is making patterns with grey and white circular mats.
cie-igcse-2018-may-jun-1-p4-q12
The patterns form a sequence.
Marco makes a table to show some information about the patterns.

Pattern number	1	2	3	4
Number of grey mats	6	9	12	15
Total number of mats	6	10	15	21

Marco needs a total of 6 mats to make the first pattern.
He needs a total of 16 mats to make the first two patterns.
He needs a total of $\frac{1}{6} n^{3} + a n^{2} + b n$ mats to make the first $n$ patterns.

Find the value of $a$ and the value of $b$ .

$a =$ .........................................
$b =$ .........................................

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Simultaneous Equations (Cambridge O Level Maths)

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