Home / iGCSE Mathematics (0580) – C1.12 Rates- Exam Style Questions Paper 3

iGCSE Mathematics (0580) - C1.12 Rates- Exam Style Questions Paper 3- New Syllabus

Question

Complete this shopping bill.

$3.4$ kg of flour at $\$4.60$ per kg = $\$$ _______

$2.75$ kg of sugar at $\$$ _______ per kg = $\$9.90$

Total = $\$$ _______

Most-appropriate topic codes (Cambridge IGCSE Mathematics 0580):

• C1.12 Rates
▶️ Answer/Explanation

Calculate the cost of the flour by multiplying the weight by the price per kg:
$3.4 \times 4.60 = 15.64$
Find the price per kg of sugar by dividing the total cost by the weight:
$9.90 \div 2.75 = 3.60$
Add the two subtotals to find the final total cost:
$15.64 + 9.90 = 25.54$
✅ Answers: $15.64$, $3.60$, $25.54$

Question

(a) Sara rides her bicycle at a speed of 420 metres per minute.
Work out her speed in kilometres per hour.

(b) Jan cycles a distance of 51km.
She starts at 11:55.
She has a rest stop for 25 minutes.
She finishes at 14:41.
Calculate her average speed, in km/h, for the time she is cycling.

▶️ Answer/Explanation
Solution

(a) Ans: 25.2 km/h

Conversion steps:

1. Convert metres to kilometres:
420 m/min = 0.42 km/min

2. Convert minutes to hours:
0.42 km/min × 60 min/h = 25.2 km/h

This is because there are 1000 metres in 1 km and 60 minutes in 1 hour.

(b) Ans: 21.7 km/h

Calculation steps:

1. Calculate total time:
From 11:55 to 14:41 = 2 hours 46 minutes = 166 minutes

2. Subtract rest time:
166 minutes – 25 minutes = 141 minutes cycling

3. Convert to hours:
141 minutes ÷ 60 = 2.35 hours

4. Calculate average speed:
Speed = Distance ÷ Time = 51 km ÷ 2.35 h ≈ 21.7 km/h

Note: The exact value is 21.702… km/h, which rounds to 21.7 km/h (1 d.p.)

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