Area & Perimeter (Edexcel IGCSE Maths A: Foundation): Exam Questions

Exam code: 4MA1

30 mins8 questions
1
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5 marks

Calvin has 8 identical rectangular tiles and 4 identical square tiles.
He arranges the tiles to fit exactly round the edge of a rectangle, as shown in the diagram below.

Rectangle diagram with a grey centre, outlined by smaller rectangles, measuring 15 cm by 29 cm. Text notes diagram is not accurately drawn.

Work out the area of one of Calvin’s rectangular tiles

2
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4 marks

The width of a rectangle is 8 cm less than the length of the rectangle.
The perimeter of the rectangle is 54 cm.

Find the area of the rectangle.

3
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4 marks

The diagram shows a circle and a trapezium.

A circle with an 8.5cm radius and a trapezium with a 20cm top, 25cm base, and height h cm. Note: Diagram not accurately drawn.

The height of the trapezium is h cm.

The area of the circle is equal to the area of the trapezium.

Work out the value of h.
Give your answer correct to 1 decimal place.

4
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3 marks

The diagram shows a rectangle measuring 10cm by 3 cm.

Rectangle diagram with labelled dimensions: 10 cm in length and 3 cm in width, displayed in black and white.

A shape is made by placing 3 of these rectangles together as shown in the diagram.

Outline of a rectangular doorway or arch with two tall rectangles on each side and a rectangle on top, forming an open structure.

Work out the perimeter of the shape.

5
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5 marks

Baasit has 8 identical rectangular tiles and 4 identical square tiles. He arranges the tiles to fit exactly around the edge of a rectangle, as shown in the diagram below.

A shaded rectangle in the centre. Above this, there are three equally sized white rectangles with a square on either side of them. This is replicated on the bottom of the shaded rectangle. Another rectangle that is equal in size to the white ones is on either side of the shaded rectangle. The height of the whole shape is 25cm. The base of the whole shape it 47cm.

Work out the area of one of Baasit's square tiles.

6
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3 marks

The diagram shows a rectangle and an isosceles triangle.

Rectangle measuring 5 cm by unknown width and an isosceles triangle with sides 8 cm and base 12 cm, labelled "Diagram not accurately drawn."

The perimeter of the rectangle is equal to the perimeter of the triangle.

Find the area of the rectangle

7
2 marks

Here is a centimetre grid

On the grid, draw a rectangle with an area of 20cm2

A grid with 8 rows and 10 columns, forming 80 equally spaced squares on a plain white background.
8
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4 marks

The width of a rectangle is 6 cm less than the length of the rectangle. The perimeter of the rectangle is 26 cm.

Find the area of the rectangle.

........... cm2