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Sheet 12 of 14 · Verbal Reasoning

Verbal reasoning number and logic puzzles

Letters as numbers, number connections and logic questions. 10 rules, each with a worked example.

The Verbal reasoning number and logic puzzles formula sheet: A one-page 11+ verbal reasoning sheet for the number and logic questions: letter sums, word values, letter codes, missing numbers in brackets, number rules, series tricks, true statements, dates, ages and seating puzzles.
Tap the sheet to open it full size. The PDF prints on one A4 page.

Letters as numbers

  1. Letter sums

    Swap each letter for its number, work it out (BODMAS), then give the answer as a letter

    ExampleA = 2, B = 3, C = 6, D = 9: A × B + B = 6 + 3 = 9 = D
  2. Word values

    Add up the alphabet positions of the letters

    ExampleCAB = 3 + 1 + 2 = 6

    Tip: EJOTY: E = 5, J = 10, O = 15, T = 20, Y = 25

  3. Letter codes

    Start with repeated letters and repeated digits: they match up first

    ExampleSEE = 377, so S = 3 and E = 7, and SEES = 3773

Number connections

  1. Missing number in brackets

    The middle number is made from the outside two in the same way on every row

    • Try +, −, × and ÷, then mixes like (a + b) × 2
    Example6 (18) 3 · 4 (12) 3 · 5 (?) 2 → 5 × 2 = 10
  2. Number rules

    Find the rule from the first pairs, then use it on the last one

    Example3 → 9, 5 → 25, 7 → ? (square it) → 49
  3. Series tricks

    Gaps not steady? Try these patterns

    • Add the two before (1, 1, 2, 3, 5, 8, 13) · square numbers · ×2 or halving · two series taking turns
    Example1, 1, 2, 3, 5, 8, ? → 13 (5 + 8)

Logic

  1. What must be true

    Use only what you are told, not what you know or guess

    ExampleAll cats have tails. Tom is a cat. → Tom has a tail
  2. Days and dates

    Every 7 days on, it's the same day of the week again

    Example3 May is a Monday, so 17 May (14 days on) is a Monday too

    Tip: 30 days has September, April, June and November.

  3. Ages

    Find each age now first; everyone gets older by the same amount

    ExampleSam is 4 years older than Ali. In 3 years Ali will be 10, so Ali is 7 and Sam is 11
  4. Seating and order

    Draw the seats or a line, then fill in the surest clue first

    Example5 seats in a row: the middle seat is seat 3, with 2 seats each side

Want the full explanation?

The study guide goes through each rule step by step, with more examples.

Read the study guide

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