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MENSURATION QUESTION BANK

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MENSURATION
OBJECTIVES
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
LEVEL I
2.1
Find the perimeter and area of rectangle
Find the area of triangle
Find the area of parallelogram
Find Area of trapezium
Find the circumference of circle
Solve problems involving the arc length and
sector areas
Find the chord of a circle
Find the surface area and volume of cuboid
Calculate the surface area and volume of Prisms
Calculate areas involving 2-dimensional shapes.
Calculate Volume and surface area of cylinder.
Calculate the surface area and volume of
Pyramids
Calculate the volume of cone
Calculate the surface areas of spheres and cones
QUESTIONS MARKS
NUMBERS
2.5
2.2
2.3
2.2
2.4
2.2
2.7
2.2
2.6
2.8
2.1, 2.6
2.9
2.2
2.3
LEVEL II
2.4
2.5
2.6
LEVEL III
2.7
2.8
(a)
2.9
c)
2.10
2.11
2.12
2.13
2.14
2.15
ANSWERS
2.1 (a) 5.5𝑐𝑚 (b) 21.5𝑐𝑚2
2.2 (a) 43.3𝑐𝑚2 (b) 1.59cm
2.3 (a) 105𝑥 2 𝑐𝑚2 (b) 22.6°
4
2.4 (ai) 25.1cm (aii) 302𝑐𝑚2 (bi) 4cm (bii) 23.7cm (biii) 396𝑐𝑚3 (ci) 9𝑥 2 𝑦𝜋 (cii) 3 𝑥 2 𝑦𝜋
2.5 (ai) use area of rectangle rule (aii) (𝑥 + 11)(𝑥 − 4) (aiii) 𝑥 = 4 𝑜𝑟 − 11 (aiv) 𝐷𝐵̂𝐴 = 28.3°
(bi) use similarity properties (bii) 𝑥 = 4.61 𝑜𝑟 − 2.61 (biii) 26.44
2.6 (ai) 218𝑐𝑚3 (aii) 501g (aiii)99 (b) 3403𝑐𝑚3 (c) 3.82cm
2.7
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