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Grid Sum Level 1 Medium maths puzzle involving algebra, column, expressions and grid

Grid Sum – Level 1 – Medium

Home » Puzzles » Grid Sum » Level 1 - Medium » Grid Sum – Level 1 – Medium
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 + 1)(x - 1)
  2. x² - x + 4
  3. x² - x + 3
  4. (x + 2)(x - 1)
  5. 4x - 1
  6. (x + 2)²
  7. (x + 1)²
  8. (x + 1)(x - 2)
  9. 3x + 2

Example Grid:
31 11 16
18
—
—
(x + 2)(x - 1)
21
(x + 2)²
—
x² - x + 3
19
—
—
—

Your Workings For Grid Sum

Enter your working out in this box:

Then insert your suggested answers in the grid below:

31
11
16
18
(x + 2)(x - 1)
21
(x + 2)²
x² - x + 3
19

Reveal the Answer

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

Grid Sum – Medium

Use elimination thinking: if a number must satisfy both its row and its column, test whether your calculation fits both constraints.

  • Calculate row requirement.
  • Check column requirement.
  • If they clash, re-examine earlier entries.

Pro tip: Medium puzzles reward patience — each correct value tightens the grid’s structure.

Full help: Grid Sum

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