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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.

Read more about how to solve these puzzles here

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

Example Grid:
101 132 103
119
x² - x + 7
—
—
97
—
(x + 1)² + x
—
120
—
(x - 2)(x + 4)
—

Your Workings For Grid Sum

Enter your working out in this box:

Then insert your suggested answers in the grid below:

101
132
103
119
x² - x + 7
97
(x + 1)² + x
120
(x - 2)(x + 4)

Reveal the Answer

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

Grid Sum – Hard

Break the grid into sections. Work on one cluster of rows/columns until they stabilise before moving elsewhere.

  • Track remaining totals precisely.
  • Use elimination to rule out impossible values.
  • Check consistency across all intersecting lines.

Tip: if progress stalls, revisit the most constrained area of the grid.

Full help: Grid Sum

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