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

Example Grid:
85 61 83
97
—
x² - x + 7
—
61
—
(x - 1)(x + 4)
x² + 4x + 2
71
—
—
—

Your Workings For Grid Sum

Enter your working out in this box:

Then insert your suggested answers in the grid below:

85
61
83
97
x² - x + 7
61
(x - 1)(x + 4)
x² + 4x + 2
71

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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