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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 25 of 45 matching questions (52 marks).

25 questions

1

Choose the correct answers to the questions from the given options. (Do not copy the questions, write the correct answers only.)

4(iii)

In the given diagram, DE || BC and AD : DB = 2 : 3.

Figure for this question
1

Choose the correct answers to the questions from the given options. (Do not copy the questions, write the correct answers only.)

2(iii)

In ΔABC, ∠ABC = 90°, AB = 20 cm, AC = 25 cm, DE is perpendicular to AC such that ∠DEA = 90° and DE = 3 cm as shown in the given figure.

Figure for this question
10(ii)

In the given diagram O is the centre of the circle. Chord SR produced meets the tangent XTP at P.

Figure for this question
1

Choose the correct answers to the questions from the given options. (Do not copy the questions, write the correct answers only.)

6(iii)

In the given diagram ∆ADB and ∆ACB are two right angled triangles with ∠ADB = ∠BCA = 90°. If AB = 10 cm, AD = 6 cm, BC = 2.4 cm and DP = 4.5 cm

Figure for this question
1

Choose the correct answers to the questions from the given options. (Do not copy the questions, write the correct answers only.)

5(iii)

In the given figure, AC // DE // BF. If AC = 24 cm, EG = 8 cm, GB = 16 cm, BF = 30 cm.

Figure for this question

Select the correct option for each of the following questions.

23

Select the correct option for each of the following questions.

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23

In the given figure ABCD is a trapezium in which DC is parallel to AB. AB = 16 cm and DC = 8 cm, OD = 5 cm, OB = (y +3) cm, OA = 11 cm and OC = (x – 1) cm. Using the given information answer the following 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