Forming & Solving Equations (Edexcel IGCSE Maths A: Foundation): Exam Questions

Exam code: 4MA1

25 mins7 questions
1
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3 marks

Carla wraps some parcels with ribbon.
She wraps 2 large parcels and 3 small parcels.

For each large parcel, Carla uses 185 centimetres of ribbon.
For each small parcel, she uses p centimetres of ribbon.

In total, Carla uses exactly 7 metres of ribbon to wrap the parcels.

Find the value of p

2
3 marks

There are 8 slices of cheese in each small pack of cheese.
There are 20 slices of cheese in each large pack of cheese.

Afreen buys h small packs of cheese and  j large packs of cheese.
She buys a total of T slices of cheese.

Write down a formula for T in terms of h and  j

3
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4 marks

ABCD is a trapezium.

Trapezium ABCD with parallel sides AB and CD, angles: A (4x-27)°, B (3x+46)°, D (3x+10)°, caption states diagram is not accurately drawn.

BC is parallel to AD

Find the size of the largest angle inside the trapezium.

4
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4 marks

There are 56 metal bars in a box.
Each metal bar is gold or silver or zinc

  • y metal bars are gold.

  • (3y+7) metal bars are silver.

  • (2y5) metal bars are zinc.

Work out the number of metal bars that are zinc.
Show clear algebraic working.

5
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5 marks

The diagram shows a hexagon ABCDEF

Irregular hexagon ABCDEF with right angles at A, B, and F, sides AB 25 cm, BC (x+2) cm, CD 8 cm, DE 7 cm, EF 7 cm, FA (x+6) cm. Diagram not to scale.

AB = 25 cm  BC = (x + 2) cm    CD = 8 cm    EF = 7 cm    AF = (x + 6) cm

The area of hexagon ABCDEF is 258 cm²

Work out the value of x

6
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3 marks

Barney went for 4 walks on Tuesday.

The lengths of the walks were

800 metres
2 kilometres
1.7 kilometres
x metres

The total length of the 4 walks was 6250 metres.

Work out the value of x

7
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3 marks

The diagram below shows a triangle PRQ and straight line PQS. The diagram is not drawn to scale.

  • Angle PRQ=(8x+2)°

  • Angle QPR=(11x+10)°

  • Angle RQS=(15x+32)°

Triangle PQR with angles P (11x+10)° and R (8x+2)° and angle Q is missing. Angle (15x+32)°is adjacent to angle Q.

Find the value of x