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ICSE Question Bank

Similarity (With Applications to Maps and Models)

Appeared in 10 of the 11 available papers.

Examined in
10 of 11 papers

Appears almost every year — treat as core

Typically worth
5.2 marks

Average per paper it appears in · 52 marks in total

Usual form
Numerical

53% of this chapter's 45 questions

Needs a diagram
78%

35 questions carry a figure — practise drawing them

Question-type distribution

  • Numerical24
  • Proof11
  • MCQ10

Most frequent topics

Similarity / scale factor 34Similarity / scale / maps and models 10Similarity / area ratio 1
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Showing 20 of 45 matching questions (52 marks).

20 questions

6(b)

In the given figure AB = 9 cm, PA = 7.5 cm and PC = 5 cm. [3] Chords AD and BC intersect at P.

Figure for this question
11(a)

A model of a high rise building is made to a scale of 1 : 50.

6(a)

In the given figure, ∠PQR = ∠PST = 90°, PQ = 5 cm and PS = 2 cm.

Figure for this question
7(b)

The model of a building is constructed with the scale factor 1 : 30.

7(b)

On a map drawn to a scale of 1:50,000, a rectangular plot of land ABCD has the following dimensions. AB = 6 cm; BC = 8 cm and all angles are right angles. Find:

9(b)

In ΔPQR, MN is parallel to QR and PM / MQ = 2 / 3

Figure for this question
11(b)

PQR is a triangle. S is a point on the side QR of ΔPQR such that ∠PSR = ∠QPR. Given QP = 8 cm, PR = 6 cm and SR = 3 cm

Figure for this question
6(b)

In the given figure PQRS is a cyclic quadrilateral PQ and SR produced meet at T.

Figure for this question
9(c)

A model of a ship is made to a scale 1 : 300