Proportions & conversions
13 free practice questions with explanations
PassNova has 13 free Numerical Reasoning Test practice questions on Proportions & conversions, each with a clear explanation. Practise them in the browser with instant feedback — 100% free, no sign-up, on any device. Updated for 2026.
Proportions & conversions: example questions & answers
12 worked examples with answers and explanations below. Practise all 13 Proportions & conversions questions free in the browser, with instant feedback on every answer.
A currency converts at £1 = €1.15. How many euros do you get for £400?
- A€440
- B€460✓
- C€480
- D€500
Answer: £400 × 1.15 = €460.
A map uses a scale of 1:50,000. A road measures 6 cm on the map. What is its real length in kilometres?
- A2 km
- B3 km✓
- C5 km
- D6 km
Answer: 6 cm × 50,000 = 300,000 cm = 3,000 m = 3 km.
If 8 identical pens cost £6.00, how much do 20 of the same pens cost?
- A£12.00
- B£13.50
- C£15.00✓
- D£16.00
Answer: One pen costs £0.75; 20 × £0.75 = £15.00.
Convert 2.5 kilograms into grams.
- A250 g
- B2,050 g
- C2,500 g✓
- D25,000 g
Answer: 1 kg = 1,000 g, so 2.5 kg = 2,500 g.
A car travels 45 miles. Given 1 mile is about 1.6 km, what is this distance in kilometres?
- A64 km
- B68 km
- C72 km✓
- D76 km
Answer: 45 × 1.6 = 72 km.
A recipe for 4 people needs 600 g of rice. How much rice is needed for 10 people?
- A1,200 g
- B1,400 g
- C1,500 g✓
- D1,600 g
Answer: Per person = 600 ÷ 4 = 150 g; 150 × 10 = 1,500 g.
$1 = £0.78. A product costs $250. What is the cost in pounds?
- A£185
- B£190
- C£195✓
- D£200
Answer: $250 × 0.78 = £195.
A 1.5-litre bottle is shared equally into glasses of 250 ml each. How many full glasses can be poured?
- A4
- B5
- C6✓
- D7
Answer: 1.5 litres = 1,500 ml; 1,500 ÷ 250 = 6 glasses.
It takes 3 workers 8 hours to complete a task. Assuming the same rate, how long would 4 workers take?
- A5 hours
- B6 hours✓
- C6.5 hours
- D7 hours
Answer: Total work = 3 × 8 = 24 worker-hours; 24 ÷ 4 = 6 hours.
A fertiliser is mixed with water in the ratio 1:25 by volume. How much fertiliser is needed to make 13 litres of mixture?
- A0.4 litres
- B0.5 litres✓
- C0.52 litres
- D0.65 litres
Answer: Total parts = 26; fertiliser = 1/26 of 13 litres = 0.5 litres.
On a plan drawn at 1:200, a room measures 4.5 cm by 3 cm. What is the real floor area in square metres?
- A27 m²
- B54 m²✓
- C60 m²
- D90 m²
Answer: Real dimensions = 9 m by 6 m (each cm = 2 m); area = 9 × 6 = 54 m².
€1 = £0.85 and £1 = $1.30. How many dollars is €500 worth (to the nearest dollar)?
- A$543
- B$553✓
- C$663
- D$765
Answer: €500 = £425 (×0.85), then £425 × 1.30 = $552.50, about $553.