11+ Numerical Reasoning 3 — Questions and Answers
Question 1: A train ticket costs £14.50 for an adult and £7.80 for a child. What is the total cost for 2 adults and 3 children?
- £52.40 (Correct answer)
- £52.00
- £48.60
- £51.40
Correct answer: £52.40
Adults: 2 × £14.50 = £29.00. Children: 3 × £7.80 = £23.40. Total = £29.00 + £23.40 = £52.40.
Question 2: A number sequence goes: 1, 1, 2, 3, 5, 8, 13, ... What is the next number?
- 18
- 20
- 21 (Correct answer)
- 26
Correct answer: 21
This is the Fibonacci sequence where each number is the sum of the two before it: 8 + 13 = 21.
Question 3: A swimming pool is 25m long. How many lengths must you swim to cover 1 kilometre?
- 20
- 25
- 40 (Correct answer)
- 50
Correct answer: 40
1 km = 1000 m. Number of lengths = 1000 ÷ 25 = 40 lengths.
Question 4: A clock loses 5 minutes every hour. If it is set correctly at noon, what time does it show at 4 PM?
- 3:40 PM (Correct answer)
- 3:20 PM
- 3:45 PM
- 3:30 PM
Correct answer: 3:40 PM
In 4 hours, the clock loses 4 × 5 = 20 minutes. It shows 4:00 - 0:20 = 3:40 PM.
Question 5: A book has 240 pages. Sarah reads 1/6 of the book on Monday and 1/4 on Tuesday. How many pages does she have left?
- 100
- 120
- 140 (Correct answer)
- 160
Correct answer: 140
Monday: 1/6 × 240 = 40 pages. Tuesday: 1/4 × 240 = 60 pages. Read = 40 + 60 = 100. Left = 240 - 100 = 140 pages.
Question 6: In a bag, the probability of picking a red marble is 0.3. If there are 50 marbles, how many are NOT red?
- 15
- 30
- 35 (Correct answer)
- 45
Correct answer: 35
Red marbles = 0.3 × 50 = 15. Not red = 50 - 15 = 35.
A train ticket costs £14.50 for an adult and £7.80 for a child.
What is the total cost for 2 adults and 3 children?