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

Exam code: 4MA1

21 mins6 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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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

6
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.