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

Example Grid:
83 115 120
68
(x - 3)²
—
(x + 2)(x - 1)
130
—
—
(x - 1)(x + 3)
120
—
—
—

Your Workings For Grid Sum

Enter your working out in this box:

Then insert your suggested answers in the grid below:

83
115
120
68
(x - 3)²
(x + 2)(x - 1)
130
(x - 1)(x + 3)
120

Reveal the Answer

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

Grid Sum – Hard

Hard grids may require multi-step reasoning or solving small simultaneous relationships between rows and columns.

Approach:

  • Identify linked blanks that depend on each other.
  • Express relationships algebraically if necessary.
  • Solve step-by-step and confirm each value fits both directions.

Discipline: don’t guess — Hard puzzles rely on logic.

Full help: Grid Sum

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