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This file is useful for igcse edexcel maths olevel. it has exam questions about 2 dimensional shapes
Typology: Exercises
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5 The diagram shows an 8-sided shape ABCDEFGH.
28 cm
5 cm 5 cm
20 cm
12 cm
Diagram NOT accurately drawn
HG = 28cm FG = 12cm AB = EF = 5 cm The height of the shape is 20cm CD is parallel to HG
The area of shape ABCDEFGH is 434 cm 2
Find the length of CD.
...................................................... cm
(Total for Question 5 is 4 marks)
1 ) June 2022 2H # 5
2 ) November 2021 1H# 5
5 Yasmin has some identical rectangular tiles. Each tile is L cm by W cm.
L cm
Diagram NOT accurately drawn
W cm
Using 9 of her tiles, Yasmin makes rectangle ABCD , shown in the diagram below.
A
Diagram NOT accurately drawn
The area of ABCD is 1620 cm 2
Work out the value of L and the value of W.
(Total for Question 5 is 5 marks)
4 ) November 2021 2H# 2
2 Here are two rectangles, rectangle A and rectangle B.
Diagram NOT accurately drawn
4 cm 5 cm
(5 – x ) cm (^) (2 x – 1) cm
rectangle A rectangle B
The area of rectangle B is twice the area of rectangle A.
Work out the value of x. Show your working clearly.
x = .......................................................
(Total for Question 2 is 4 marks)
4 The diagram shows rectangle ABCD
A
(3 x + 7.4) cm
(5 x – 1) cm
24 cm (^) Diagram NOT accurately drawn
Work out the perimeter of the rectangle. Show your working clearly.
...................................................... cm
(Total for Question 4 is 4 marks)
5 ) January 2023 2H # 4
7 ) November 2020 1H # 11 11 The diagram shows trapezium ABCD in which BC and AD are
parallel. 8.4 cm^ Diagram NOT accurately drawn
A (^) 17.6 cm D
The trapezium has exactly one line of symmetry.
BC = 8.4 cm AD = 17.6 cm
The trapezium has area 179.4cm 2
Work out the size of angle ABC. Give your answer correct to 1 decimal place.
(Total for Question 11 is 6 marks)
10 The diagram shows one face of a wall. This face is in the shape of a pentagon with exactly one line of symmetry.
Diagram NOT accurately drawn
6 m 6 m
7 m 7 m
10 m
Omondi is going to paint this face of the wall once. He has to buy all the paint that he needs to use.
The paint in each tin of paint Omondi is going to buy will cover 16 m 2 of the face of the wall.
Work out the least number of tins of paint Omondi will need to buy. Show your working clearly.
......................................................
(Total for Question 10 is 5 marks)
8 ) (^) January 2021 1HR # 10
10 The diagram shows a hexagon ABCDEF
25 cm
7 cm
8 cm
( x + 6) cm
( x + 2) cm (^) Diagram NOT accurately drawn
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
x = ..............................................................
(Total for Question 10 is 5 marks)
10 ) November 2023 2H # 10
8 The diagram shows a trapezium, ABCD A
Diagram NOT 15 cm accurately drawn
14 cm
DAB and ADC are right angles.
AD = 15 cm DC = 14 cm
The area of the trapezium is 360 cm²
Work out the perimeter of the trapezium.
.............................................................. cm
(Total for Question 8 is 6 marks)
11 )June 2024 1HR # 8
13 A rectangle has length L and width W
L is increased by 20% W is decreased by 35%
Calculate the percentage reduction in the area of the rectangle.
(Total for Question 13 is 3 marks)
12 ) January 2023 2HR # 13
11 The diagram shows a roof support.
9 m
12 m
Diagram NOT accurately drawn
The roof support is made from four lengths of wood, AB , AC , BC and MC
AC = BC = 9 m AB = 12 m
angle AMC = 90°
Lewis is going to buy lengths of wood to make the roof support.
The wood costs 21.50 euros per metre. Each length of wood he buys has to be a whole number of metres.
Work out the total cost of the wood Lewis needs to buy. Show your working clearly.
...................................................... euros
(Total for Question 11 is 4 marks)
13 ) (^) June 2024 1H # 11
15 ) November 2021 2H # 10
10 ABC is an isosceles triangle with BA = BC. B
9.3 cm
Diagram NOT accurately drawn
N is the point on AC such that AN = 9.3 cm and BN is perpendicular to AC.
Work out the perimeter of triangle ABC. Give your answer correct to 3 significant figures.
....................................................... cm
(Total for Question 10 is 4 marks)
10 The diagram shows an isosceles triangle, with base length 24cm.
24 cm
Diagram NOT accurately drawn
The perimeter of the triangle is 54cm.
Work out the area of the triangle.
...................................................... cm^2
(Total for Question 10 is 5 marks)
1 6) January 2023 2H
2 The diagram shows a rectangle ABCD and a semicircle with diameter AB where AB = 12 cm. The point E lies on DC and also on the semicircle.
12 cm
C (^) Diagram NOT accurately drawn
Work out the area of the shaded region. Give your answer correct to 3 significant figures.
...................................................... cm^2
(Total for Question 2 is 3 marks)
18 )January 2021 2HR# 2
5 The diagram shows a shaded shape made from three identical semicircles, X , Y and Z
Diagram NOT accurately drawn
ABCDE is a straight line.
AC is the diameter of semicircle X and B is the centre of semicircle X BD is the diameter of semicircle Y and C is the centre of semicircle Y CE is the diameter of semicircle Z and D is the centre of semicircle Z
AC = BD = CE = 20 cm
Work out the perimeter of the shaded shape. Give your answer correct to the nearest whole number.
.............................................................. cm
(Total for Question 5 is 3 marks)
19 ) November 2023 1H
