mensuration of 2 d shapes
TRANSCRIPT
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Mensuration of 2-D Shapes Question Paper 1
Level IGCSE
Subject Maths
Exam Board Edexcel
Topic Shape, Space and Measures
Sub Topic Mensuration of 2-D Shapes
Booklet Question Paper 1
Time Allowed: 58 minutes
Score: /48
Percentage: /100
Grade Boundaries:
9 8 7 6 5 4 3
>90% 80% 70% 60% 50% 40% 30%
2 1
20% 10%
1 The perimeter of a triangle is 90 cm.The lengths of the sides of the triangle are in the ratios 3 : 5 : 7
Work out the length of the longest side of the triangle.
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(Total for Question 1 is 3 marks)
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2 (a) Here is a shape made from a rectangle and a semicircle.
The length of the rectangle is 7.1 cm.The radius of the semicircle is 2.7 cm.
Work out the area of the shape.Give your answer correct to 3 significant figures.
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(4)
Diagram NOT accurately drawn
7.1 cm
2.7 cm
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(b) Here is another shape made from a rectangle and a semicircle.
The length of the rectangle is L cm.The radius of the semicircle is r cm.
The perimeter P, cm, of the shape is given by the formula
P = πr + 2L + 2r
Make r the subject of the formula P = πr + 2L + 2r.
r = . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(3)
(Total for Question 2 is 7 marks)
Diagram NOT accurately drawn
L cm
r cm
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3 The diagram shows a trapezium PQRS.
Q 6cm
8cm
5cm
Diagram NOTaccurately drawn
R
P S
(a) Calculate the area of the trapezium PQRS.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . cm2
(2)
(b) Calculate the length PQ.Give your answer correct to 3 significant figures.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . cm(4)
(Total for Question 3 is 6 marks)
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4
Diagram NOT accurately drawn
C
B
A9 cm
9 cm
35°D
O
AOD is a diameter of a circle, with centre O and radius 9 cm.ABC is an arc of the circle.AC is a chord.Angle ADC = 35°
Calculate the area of the shaded segment.Give your answer correct to 3 significant figures.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . cm2
(Total for Question 4 is 6 marks)
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5
ABCD is a rhombus.The diagonals AC and BD cross at the point E.AE CEBE DEAngle AEB
(a) Work out the area of the rhombus.
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(3)
A
B
C
D
E6 cm
4 cm
4 cm
6 cm
Diagram NOT accurately drawn
(b) Work out the length of AB.Give your answer correct to 3 significant figures.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . cm (3)
(Total for Question 5 is 6 marks)
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6
Diagram NOTaccurately drawn
NA B
CD
9 cm 5 cm
The shape ABCD is made from a rectangle ANCD and the right-angled triangle NBC. ANB is a straight line. AN = 9 cm. NB = 5 cm. The area of rectangle ANCD is 36 cm2
Work out the area of shape ABCD.
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(Total for Question 6 is 4 marks)
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7 A circle has a diameter of 7.6 cm.Work out the circumference of the circle. Give your answer correct to 3 significant figures.
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(Total for Question 7 is 2 marks)
8 16 cm
4 cm
10 cm
Diagram NOT accurately drawn
9 cm
The diagram shows a shape.
Work out the area of the shape.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . cm2
(Total for Question 8 is 4 marks)
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9 Here is a shape.
The shape is made from triangle ABC and a sector of a circle, centre C and radius CA.CA = 7 cm.CB = 16 cm.
Angle ACB���&�>X
Calculate the area of the shape.Give your answer correct to 3 significant figures.
Diagram NOT accurately drawn
B
&�>X7 cm
C
9 cm7 cm
A
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . cm2
(Total for Question 9 is 6 marks)
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10 The diagram shows the path of an athlete on a running track.
The path consists of two straight lengths and a semicircle at each end.Each straight length is 85 metres.Each semicircle has a radius of 36.6 metres.
Calculate the area enclosed by the path.Give your answer correct to 3 significant figures.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . m2
(Total for Question 10 is 4 marks)
85 m
36.6 m
Diagram NOT accurately drawn
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