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

Example Grid:
55 108 54
52
(x - 1)(x + 3)
—
(x - 3)²
82
—
—
—
83
—
—
x² + 4x + 2

Your Workings For Grid Sum

Enter your working out in this box:

Then insert your suggested answers in the grid below:

55
108
54
52
(x - 1)(x + 3)
(x - 3)²
82
83
x² + 4x + 2

Reveal the Answer

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

Grid Sum – Hard

Proof-style finish: once the grid is complete, verify like a mathematician.

  • Recalculate every row total.
  • Recalculate every column total.
  • Ensure no number appears where it violates the puzzle rules.

If something fails: trace back to the first assumption — the error is usually earlier than you think.

Full help: Grid Sum

Next Puzzle →
Concepts covered in this puzzle:

You must be logged in to view this answer.