0580/32 Oct/Nov 2021, Question 1: Number Review: Mixed Practice
Cambridge IGCSE Mathematics 0580 · Paper 32 (Core) · Calculator · 12 marks
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The question, in short
Work with café prices, a spending ratio, a ticket price increase, a train timetable, and a pie chart of ticket sales at Washby station.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Part (a) · 3 marks
Find Gary's change from $20 after buying 2 coffees at $3.25 and 4 colas at $2.15.
- 12 × 3.25 = 6.50
- 24 × 2.15 = 8.60
- 3Total = 15.10
- 4Change = 20 − 15.10 = $4.90
Answer4.90
Part (b) · 2 marks
Given $37.80 split food:drink = 7:2, work out the amount spent on food.
- 1One part = 37.80 ÷ 9 = 4.20
- 2Food = 7 × 4.20 = $29.40
Answer29.40
Part (c) · 2 marks
Find the new price of a $48 train ticket after a 12% increase.
- 1Multiplier = 1.12
- 248 × 1.12 = $53.76
Answer53.76
Part (d) · 2 marks
Using the Washby and Dunstley times, complete the timetable, given all trains take equal time.
- 109 18 to 10 03 = 45 min
- 211 05 + 45 min = 11 50
Answer11 50
Part (e) · 3 marks
Using 28 senior, 192 adult and some child tickets, complete the pie chart with the 42° senior sector.
- 128 tickets ↔ 42°, so 1 ticket ↔ 42/28 = 1.5°
- 2Adult: 192 × 1.5 = 288°
- 3Child: 360 − 42 − 288 = 30°
- 4Draw and label the Adult (288°) and Child (30°) sectors
AnswerCorrect pie chart drawn: Adult 288°, Child 30°
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