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

Grid Sum – Level 1 – Medium

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

Example Grid:
9 19 30
15
(x + 3)(x - 2)
3x + 1
20
4x - 2
23

Your Workings For Grid Sum

Enter your working out in this box:

Then insert your suggested answers in the grid below:

9
19
30
15
(x + 3)(x - 2)
3x + 1
20
4x - 2
23

Reveal the 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

Concepts covered in this puzzle:

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