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

Example Grid:
11 31 16
19
—
(x + 1)²
—
29
—
—
(x - 1)(x + 3)
10
—
3x
—

Your Workings For Grid Sum

Enter your working out in this box:

Then insert your suggested answers in the grid below:

11
31
16
19
(x + 1)²
29
(x - 1)(x + 3)
10
3x

Reveal the Answer

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

Grid Sum – Medium

Organise your arithmetic. Medium grids often involve larger numbers or multiple operations.

  • Keep additions tidy.
  • Subtract carefully from totals.
  • After each placement, reassess the grid for new single-blank lines.

Key idea: progress compounds — each solved cell reduces complexity.

Full help: Grid Sum

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