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

Code Breaker – Level 1 – Hard

Home » Puzzles » Code Breaker » Level 1 - Hard » Code Breaker – Level 1 – Hard
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.

15 = N | 7 = R | 20 = J | 12 = K | 5 = F | 2 = S | 8 = I | 0 = E | 6 = H | 1 = T

Your Workings For Code Breaker

1) (x-1)(x-6) – x² + 8x – 8 = 3
2) (x+6)² – x² + 8x – 7 = 169
3) (x+4)² – 2(x+5) – x² – 9 = 45
4) (x+7)(x-1) – (x-2)(x-7) + 7x + 0 = 23
5) (x-4)² – (x+3)² + x + 4 = -145

Your overall result:

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Additional instructions for Code Breaker (Level 1, Hard)

Code Breaker – Hard

Hard Code Breaker expects confident algebra and careful handling of instructions (e.g. “use the positive solution”, “find the larger solution”, “constant term”, etc.). One wrong interpretation can change the entire letter set.

Hard-mode routine:

  • For each line, write what it’s asking you to extract (x value, constant term, chosen root).
  • Solve neatly and label the outcome clearly before moving on.
  • Translate to letters using the map, then anagram to the secret word.

Final check: confirm the word fits the hint/context and uses exactly the letters you’ve found.

Full help: Code Breaker

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