Question 3 — IGCSE 0580 May/June 2023 Paper 33
Cambridge IGCSE Mathematics 0580, Core tier, calculator. Topic: Numbers · The four rules. Worth 13 marks.
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Question text
3 (a) The diagram shows a shape on a 1cm2 grid.
Work out the area of the shape.
.......................................... cm2 [1]
(b)
7 cm NOT TO
SCALE
12 cm
Work out the perimeter of the rectangle.
............................................ cm [1]
(c) A square has an area of 841cm2.
Work out the length of one side of the square.
............................................ cm [1]
(d) The diagram shows a cuboid made from 1cm3 cubes.
NOT TO
SCALE
(i) Work out the volume of the cuboid.
.......................................... cm3 [1]
(ii) Write down the dimensions of a different cuboid that can be made using all of the cubes.
....................... cm by ....................... cm by ....................... cm [1]
© UCLES 2023 0580/33/M/J/23
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(e)
NOT TO
SCALE
The diagram shows three small circles and one large circle.
The large circle has radius 20 cm.
The small circles each have radius 4 cm.
Work out the shaded area.
Give your answer in terms of r.
.......................................... cm2 [3]
(f) The exterior angle of a 9-sided regular polygon is 40°.
(i) Work out the size of the interior angle of this polygon.
................................................. [1]
(ii)
NOT TO
SCALE
x° x°
The diagram shows a regular pentagon inside part of a regular 9-sided polygon.
Work out the value of x.
x = ................................................. [4]
© UCLES 2023 0580/33/M/J/23 [Turn over
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