0580/33 Oct/Nov 2024, Question 6: Everyday Money Problems
Cambridge IGCSE Mathematics 0580 · Paper 33 (Core) · Calculator · 13 marks
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The question, in short
Solve problems about Zak's garden: perimeter of an L-shaped plot, weekly temperatures, plant ratio, water decrease, driving distance, and machine hire days.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Part (a) · 2 marks
Find the perimeter of the L-shaped garden using the given side lengths.
- 1Missing sides: 15 − 8 = 7 m and 11 − 6 = 5 m
- 2Perimeter = 11 + 8 + 5 + 7 + 6 + 15 = 52 m
Answer52
Part (bi) · 1 mark
Identify which night had the lowest recorded temperature.
- 1Lowest temperature is −5 °C
- 2Thursday
AnswerThursday
Part (bii) · 1 mark
Find the temperature difference between Friday and Saturday nights.
- 13 − (−4) = 7 °C
Answer7
Part (c) · 2 marks
Using the ratio 7:5:2 and 45 bean plants, show the total number of plants is 126.
- 145 ÷ 5 = 9 plants per part
- 2Total = 9 × (7 + 5 + 2) = 9 × 14 = 126
Answer45 ÷ 5 × (7 + 5 + 2) = 126
Part (d) · 2 marks
Calculate the percentage decrease from 120 litres to 43.2 litres.
- 1Decrease = 120 − 43.2 = 76.8
- 276.8 ÷ 120 × 100 = 64%
Answer64
Part (e) · 2 marks
Calculate the distance driven in 1 1/4 hours at 57 km/h.
- 11 1/4 h = 1.25 h
- 2Distance = 1.25 × 57 = 71.25 km
Answer71.25
Part (f) · 3 marks
Find how many days a machine is hired for when the total cost is $69.80.
- 169.80 − 22.60 = 47.20
- 247.20 ÷ 11.80 = 4 additional days
- 3Days = 1 + 4 = 5
Answer5
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