Independent School Entrance (ISEB Pre-Test and 11+ CEM style) · Numerical Reasoning

Number puzzles

13 practice questions, each with the answer and an explanation.

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 13 questions

  1. Two numbers add up to 47 and their difference is 13. What is their product?
  2. A number is multiplied by 7, then 9 is added, and the result is halved. The answer is 22. What was the number?
  3. How many three-digit numbers have digits that add up to 3?
  4. How many multiples of 7 are there between 100 and 300?
  5. What is the units digit of 3²¹?
  6. What is the sum of the whole numbers from 1 to 40?
  7. What is the sum of all the odd numbers from 1 to 49?
  8. Five consecutive even numbers add up to 130. What is the smallest of them?
  9. The 100th term of the sequence 5, 9, 13, 17, ... is found using the rule 4n + 1. What is the 100th term?
  10. A sequence has the nth term 5n - 3. Which term of the sequence is equal to 112?
  11. Which number should replace the ? in this calculation: 36 ÷ 4 + ? × 3 = 30?
  12. A square has a whole-number side length in centimetres. Its area is between 130 cm² and 180 cm², and its perimeter is a multiple of 8. What is the side length?
  13. The sum of three consecutive whole numbers is 111. What is the product of the smallest and the largest?

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