ICSE Question Bank

Examined in

10 of 11 papers

Appears almost every year — treat as core

Typically worth

7.1 marks

Average per paper it appears in · 71 marks in total

Usual form

Numerical

81% of this chapter's 31 questions

Needs a diagram

61%

19 questions carry a figure — practise drawing them

Question-type distribution

Numerical25
MCQ6

Most frequent topics

Mensuration of solids 19Mensuration 10Circle theorems 2

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Showing 6 of 31 matching questions (71 marks).

6 questions

NumericalHard4 marks

The following figure represents a solid consisting of a right circular cylinder with a hemisphere at one end and a cone at the other. Their common radius is 7 cm. The height of the cylinder and cone are each of 4 cm. Find the volume of the solid.

4(b)2017

NumericalModerate3 marks

In the given figure ABCD is a rectangle. It consists of a circle and two semi-circles each of which are of radius 5 cm. Find the area of the shaded region. Give your answer correct to three significant figures.

6(b)2017

NumericalModerate3 marks

A conical tent is to accommodate 77 persons. Each person must have 16 m³ of air to breathe. Given the radius of the tent as 7 m, find the height of the tent and also its curved surface area

NumericalModerate3 marks

A certain number of metallic cones, each of radius 2 cm and height 3 cm are melted and recast into a solid sphere of radius 6 cm. Find the number of cones.

9(b)

The given figure represents a kite with a circular and a semicircular motifs stuck on it. The radius of a circle is 2.5 cm and the semicircle is 2 cm. If diagonals AC and BD are of lengths 12 cm and 8 cm respectively, find the area of the:

9(b)(i)2016

NumericalModerate2 marks

Shaded part. Give your answer correct to the nearest whole number.

9(b)(ii)2016

NumericalModerate2 marks

Unshaded part.

Cylinder, Cone and Sphere

Question-type distribution

Most frequent topics