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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, 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.

12 = U | 14 = J | 9 = E | 10 = R | 0 = N | 2 = K | 18 = V | 5 = A | 4 = C | 7 = B

Your Workings For Code Breaker

1) (x+6)² – x² + x – 14 = 48
2) (x-1)(x+1) – (x-7)(x+1) – 7x – 6 = 0
3) (x+6)² – 2(x-1) – x² – 14 = 74
4) (x-5)² – (x+0)² – x – 9 = -182
5) (x-2)(x+4) – x² – 3x + 7 = -10

Your overall result:

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Reveal Answer
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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