Grid Sum Puzzle

Grid Sum – Level 1 – Hard

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.

Read more about how to solve these puzzles here

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

Example Grid:
75 90 45
73
(x + 1)(x + 2)
74
(x + 2)² - 1
63
x² + x + 4

Your Workings For Grid Sum

Enter your working out in this box:

Then insert your suggested answers in the grid below:

75
90
45
73
(x + 1)(x + 2)
74
(x + 2)² - 1
63
x² + x + 4

Reveal the 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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