11+ Numerical Reasoning 2 — Questions and Answers
Question 1: A class of 30 students took a test. 60% passed. How many students failed?
- 10
- 12 (Correct answer)
- 15
- 18
Correct answer: 12
If 60% passed, then 40% failed. 40% of 30 = 0.4 × 30 = 12 students failed.
Question 2: A recipe uses flour and sugar in the ratio 5:2. If 350g of flour is used, how much sugar is needed?
- 100g
- 120g
- 140g (Correct answer)
- 175g
Correct answer: 140g
Flour:Sugar = 5:2. If flour = 350g, one part = 350 ÷ 5 = 70g. Sugar = 2 × 70 = 140g.
Question 3: A box has 24 chocolates. 1/3 are milk chocolate, 1/4 are dark chocolate, and the rest are white chocolate. How many are white chocolate?
- 8
- 10 (Correct answer)
- 12
- 14
Correct answer: 10
Milk = 1/3 × 24 = 8. Dark = 1/4 × 24 = 6. White = 24 - 8 - 6 = 10.
Question 4: A car's fuel tank holds 48 litres. It uses 6 litres per 100 km. How far can the car travel on a full tank?
- 700 km
- 750 km
- 800 km (Correct answer)
- 850 km
Correct answer: 800 km
Distance = (48 ÷ 6) × 100 = 8 × 100 = 800 km.
Question 5: In a sale, all prices are reduced by 1/5. A jacket originally costs £45. What is the sale price?
- £36 (Correct answer)
- £38
- £40
- £9
Correct answer: £36
Reduction = 1/5 × £45 = £9. Sale price = £45 - £9 = £36.
Question 6: The mean of five numbers is 12. Four of the numbers are 10, 11, 13, and 15. What is the fifth number?
- 9
- 10
- 11 (Correct answer)
- 12
Correct answer: 11
Total = mean × count = 12 × 5 = 60. Sum of four numbers = 10 + 11 + 13 + 15 = 49. Fifth number = 60 - 49 = 11.
11+ Numerical Reasoning 2
A class of 30 students took a test. 60% passed.
How many students failed?