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

Example Grid:
153 88 115
107
—
—
(x - 1)(x + 3)
123
(x + 3)² - 4
—
—
126
—
(x + 2)(x - 1)
—

Your Workings For Grid Sum

Enter your working out in this box:

Then insert your suggested answers in the grid below:

153
88
115
107
(x - 1)(x + 3)
123
(x + 3)² - 4
126
(x + 2)(x - 1)

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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