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Number Problems

Solve word-based number puzzles using logic.

1

What is Number Problems?

Number problem questions in verbal reasoning use words and logic to set up mathematical puzzles. They might ask you to convert letters to numbers (A=1, B=2, etc.), solve coded arithmetic, or work out number patterns described in words.

These questions combine verbal reasoning with basic maths skills. Careful reading is just as important as careful calculating.

2

Step-by-Step Method

1

Read carefully

Understand exactly what the question is asking. Highlight or underline key information.

2

Set up the problem

Convert the words into numbers or equations. Write down any given values clearly.

3

Calculate step by step

Work through the maths one step at a time. Do not try to do it all in your head.

4

Check your answer

Substitute your answer back into the original problem to verify it works.

3

Worked Examples

Example 1

If A=1, B=2, C=3 and so on, what is the total value of the word CAT?

Working

  1. C = 3
  2. A = 1
  3. T = 20
  4. Total: 3 + 1 + 20 = 24
Answer: 24
Example 2

If A=1, B=2, C=3 and so on, which of these words has the highest value? BIG, ACE, FAD

Working

  1. BIG: B(2) + I(9) + G(7) = 18
  2. ACE: A(1) + C(3) + E(5) = 9
  3. FAD: F(6) + A(1) + D(4) = 11
  4. Highest value is BIG = 18
Answer: BIG (value 18)
Example 3

In a code, each vowel is worth 5 and each consonant is worth 3. What is the value of HOUSE?

Working

  1. H = consonant = 3
  2. O = vowel = 5
  3. U = vowel = 5
  4. S = consonant = 3
  5. E = vowel = 5
  6. Total: 3 + 5 + 5 + 3 + 5 = 21
Answer: 21
4

Common Mistakes

Common error

Getting alphabet positions wrong, especially for letters in the middle (e.g. thinking M=12 instead of M=13).

Correct approach

Learn key landmarks: E=5, J=10, M=13, P=16, T=20, Z=26. Count from the nearest landmark.

Common error

Rushing the addition and making arithmetic errors.

Correct approach

Add numbers one at a time and write each step down. Double-check by adding in a different order.

5

Top Tips

  • Memorise the alphabet positions. Key ones: A=1, E=5, J=10, M=13, O=15, T=20, Z=26.
  • Write out the full alphabet with numbers if you have time at the start of the test.
  • Remember the vowels: A, E, I, O, U. Everything else is a consonant.
  • Show all your working so you can check for errors.
  • When comparing word values, calculate each one fully before comparing – do not try to estimate.

Ready to practise?

Put these techniques into action with our free practice papers.

Practise Verbal Reasoning Questions
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