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Code Breaker Level 1 Hard maths puzzle involving anagram, codeword, letter map and rational numbers

Code Breaker – Level 1 – Hard

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Topics: anagram, anagrams, codeword, letter map, rational numbers, rounding

Each correct answer gives a number. Use the scrambled letter map to translate those numbers into letters. The five letters you uncover form an anagram – solve it to unlock the codeword. Round normally to get to a rational number, if needed.

9 = E | 16 = C | 6 = T | 13 = N | 10 = L | 4 = Q | 17 = B | 1 = A | 8 = G | 0 = O

Your Workings For Code Breaker

1) (x+2)(x+5) – x² + 2x – 14 = 140
2) (x+3)² – (x+2)² + 2x – 8 = 37
3) (x+4)² – x² + 3x + 4 = 119
4) (x-6)² – 3(x-1) – x² – 2 = 22
5) (x+5)(x+2) – (x-5)(x-8) + 4x + 10 = 292

Your overall result:

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Additional instructions for Code Breaker (Level 1, Hard)

Code Breaker – Hard

Handle multi-solution algebra carefully. If you factorise or solve a quadratic, the puzzle may instruct you to choose a specific root.

  • When you get two solutions, pause and apply the instruction: positive, negative, larger, or smaller.
  • Only then translate the chosen number into a letter.
  • Keep the rejected solution written down (lightly) so you can sanity-check your choice if the final word doesn’t form.

Full help: Code Breaker

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