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Grid Sum Puzzle

Grid Sum – Level 1 – Hard

Other Puzzles

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. x² - x + 7
  2. (x + 3)² - 4
  3. (2x + 1)(x - 2)
  4. (x + 2)(x - 1)
  5. x² + 3x + 2
  6. x² + 5x + 2
  7. (x + 1)²
  8. (x - 1)(x + 3)
  9. x² + 4x + 1

Example Grid:
140 96 120
139
—
—
—
107
—
(2x + 1)(x - 2)
(x + 2)(x - 1)
110
—
—
(x - 1)(x + 3)

Your Workings For Grid Sum

Enter your working out in this box:

Then insert your suggested answers in the grid below:

140
96
120
139
107
(2x + 1)(x - 2)
(x + 2)(x - 1)
110
(x - 1)(x + 3)

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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