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Grid Sum Level 1 Hard maths puzzle involving algebra, column, expressions and grid

Grid Sum – Level 1 – Hard

Home » Puzzles » Grid Sum » Level 1 - Hard » Grid Sum – Level 1 – Hard
Topics: algebra, column, expressions, grid, linear equations, row

Each row and column must add up to the totals shown – but all the values are algebra expressions. Work out the value of x, then fill in the grid using each expression once.

Available Expressions (use each exactly once):
  1. (x + 1)²
  2. x² + 4x + 2
  3. x² - x + 7
  4. (x + 2)(x - 1)
  5. (x - 3)² + 2
  6. (x + 3)² - 4
  7. (x - 3)²
  8. (x - 2)(x + 4)
  9. x² + 3x + 2

Example Grid:
51 86 54
97
—
(x + 3)² - 4
—
56
—
—
—
38
(x - 3)² + 2
—
x² - x + 7

Your Workings For Grid Sum

Enter your working out in this box:

Then insert your suggested answers in the grid below:

51
86
54
97
(x + 3)² - 4
56
38
(x - 3)² + 2
x² - x + 7

Reveal the Answer

Reveal Answer
Additional instructions for Grid Sum (Level 1, Hard)

Grid Sum – Hard

Proof-style finish: once the grid is complete, verify like a mathematician.

  • Recalculate every row total.
  • Recalculate every column total.
  • Ensure no number appears where it violates the puzzle rules.

If something fails: trace back to the first assumption — the error is usually earlier than you think.

Full help: Grid Sum

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