4024/11 Oct/Nov 2020, Question 13: Dividing in a Given Ratio

Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 4 marks

The question, in short

Using a diagram with North at O, OC and OA each at 70° to North, and x° and y° between OA, OB, OC, find x from x:y = 3:7, then bearings of C from O and O from A.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Part (a) · 2 marks

Given x:y = 3:7 and the angles around O, find the value of x.

1x + y = 360 − 2 × 70 = 220
2x = 220 ÷ (3 + 7) × 3
3= 22 × 3 = 66

Answer66

Part (b) · 1 mark

Find the bearing of C from O.

1C is 70° west of North
2Bearing = 360 − 70 = 290°

Answer290

Part (c) · 1 mark

Find the bearing of O from A.

1Bearing of A from O = 070°
2Bearing of O from A = 070 + 180 = 250°

Answer250

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