CAIE IGCSE Mathematics Core C4.3 Scale Drawings Topic Practice

Question 1

[Maximum number: 5]

Question (a)

(a)

The scale drawing shows the positions of two ports, X and Y. The scale is 1 cm represents 8 km.

Figure for Question (a) — CAIE IGCSE Mathematics Core
[ 5 ]

Question (i)

(i)

Measure the bearing of Y from X.

[ 1 ]

Question (ii)

(ii)

A boat, B, is 52 km from X and 80 km from Y.

On the scale drawing, mark the position of B.

[ 2 ]

Question (iii)

(iii)

A ship, S, is on a bearing of 284∘284^{\circ} from X.

Work out the bearing of X from S.

[ 2 ]

Question 2

[Maximum number: 5]

The scale drawing shows a path from S to P. The scale is 1 cm represents 2.5 km.

Scale: 1 cm to 2.5 km

Scale: 1 cm to 2.5 km

Question (a)

(a)

Work out the actual distance between S and P. km [2]

[ 2 ]

Question (b)

(b)

Measure the bearing of S from P.

[ 1 ]

Question (c)

(c)

E is 20 km from P on a bearing of 070∘070^{\circ}.

On the scale drawing, mark the position of E.

[ 2 ]

Question 3

[Maximum number: 2]

The scale drawing shows the position of ship⁡A\operatorname{ship} A.
The scale is 1 centimetre represents 40 kilometres.

Figure for Question 3 — CAIE IGCSE Mathematics Core

Scale: 1 cm to 40 km

Ship B is 220 km from ship A on a bearing of 140∘140^{\circ}.
On the scale drawing, mark the position of ship B.

Question 4

[Maximum number: 2]

The scale drawing shows the positions of two ports, X and Y. The scale is 1 cm represents 8 km.

Figure for Question 4 — CAIE IGCSE Mathematics Core

A boat, B, is 52 km from X and 80 km from Y.

On the scale drawing, mark the position of B.

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