Home / iGCSE Mathematics (0580) : C1.16 Use given data to solve problems on personal and household finance involving earnings, simple interest and compound interest. iGCSE Style Questions Paper 3

iGCSE Mathematics (0580) : C1.16 Use given data to solve problems on personal and household finance involving earnings, simple interest and compound interest. iGCSE Style Questions Paper 3

IGCSE Mathematics(0580) Practice Questions Paper 3 - All Chapters
Question

Sean is the manager of a museum.

(a) He buys a Chinese pot costing 1200 yuan. The exchange rate is \($1\) = 6.4 yuan. Work out the cost of this pot in dollars.

(b) Sean records temperatures at the museum for one week:

Temperature table

(i) Find Wednesday’s temperature difference.

(ii) Saturday’s minimum was 2°C higher than Monday’s minimum.

(iii) Weekly temperature range was 23°C. Find Sunday’s minimum.

(c) Museum opening hours:
Monday-Friday: 0900-1700
Saturday-Sunday: 1000-1600
4 guards work max 30 hours/week each. Find minimum guards needed.

(d) Museum entry is \($18\), increased by 28%. Find new price.

▶️ Answer/Explanation
Answers:

(a) 187.50
Convert yuan to dollars: 1200 ÷ 6.4 = 187.5

(b)(i) 19
Wednesday’s max (11°C) – min (-8°C) = 19°C difference

(b)(ii) -3
Monday’s min (-5°C) + 2°C = -3°C for Saturday

(b)(iii) -8
Range = max (15°C) – min → 15 – 23 = -8°C (Sunday’s min)

(c) 7
Total hours: (8×5) + (6×2) = 52 → 52×4 guards = 208 hours → 208÷30 ≈ 7 guards

(d) 23.04
28% increase: 18 + (18×0.28) = 18 + 5.04 = $23.04

Question

Navja works in a post office.

(a) The table shows the costs of sending parcels by post. The cost depends on the mass, m grams, of the parcel.

Postal costs table

(i) Sai sends each of these four parcels by post.

Parcel details

He pays with a $20 note. Work out how much change he receives.

(ii) On 1 April, the cost of sending any parcel increases by 5%.

(a) Show that the increase in the cost of sending an Extra large parcel is $0.28.

(b) Avani says “As the cost of an Extra large parcel increases by $0.28 then the cost of a Large parcel will also increase by $0.28 to $2.48.” Explain why Avani is incorrect.

(b) (i) Navja weighs a parcel with mass w kg on her scales. She uses the masses shown to balance the scales.

Scale balance

Work out the value of w.

(ii) Sometimes Navja uses an electronic weighing machine. The machine gives the mass, p kg, of a parcel as 12.4kg, correct to the nearest 100g. Complete this statement about the value of p.

▶️ Answer/Explanation
Answer:

(a)(i) $5.84
1. Calculate total cost: (2×$1.28) + $2.56 + $0.56 = $5.68
2. Subtract from $20: $20 – $5.68 = $14.32

(ii)(a) $0.28
5% of $5.60 = 0.05 × 5.60 = $0.28

(ii)(b)
Percentage increases vary by base price. Large parcel increases by 5% of $2.20 = $0.11, not $0.28.

(b)(i) 1.965 kg
Add all weights: 1kg + 0.5kg + 0.2kg + 0.2kg + 0.05kg + 0.01kg + 0.004kg

(b)(ii) 12.35 ≤ p < 12.45
Nearest 100g means actual weight is within ±50g of 12.4kg.

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