Math puzzle · Logic & Puzzles
Magic squares 4 by 4 with negative numbers · Grade 7
Fill the empty cells so every row, column and diagonal adds up to the magic sum. Find a line with one gap, work out what it needs, and keep going.
- Grade 7 · ages 12 to 13
- Medium
- 10 to 15 minutes
- 1 page
- Free
The answer key is a separate page for grown-ups. Sign in to download it.
What the sheet says
Directions: Fill the empty squares so every row, every column and both diagonals add up to the magic sum.
- How it works 2 7 6
- 2 + 7 + 6 = 15, and so does every other row, column and diagonal.
- Magic sum 54
- Magic sum 70
- Magic sum 18
- 9 −2 −1
- −3 10 0
- Magic sum 58
- 1 34 −5
- −2 25 31
What your child practices
Your child practices the logic and puzzles skill “Deduction from clues”: combine clues to eliminate possibilities.
- Grades and ages
- Grade 7, ages 12 to 13
- Time
- About 10 to 15 minutes
- Subject
- Logic & Puzzles
- Level
- Medium for Grade 7
- Answer key
- Yes, for grown-ups who sign in
- Printing
- 1 page, US Letter or A4, low-ink option
- Updated
How to use it
Read the rules at the top together and try the first step side by side. Use a pencil so mistakes rub out easily, and check every answer at the end. It is pitched at the expected level for Grade 7, for practice after the skill has been taught.
An answer key comes with it as a separate page that grown-ups download after signing in.
Tip for grown-ups: Solve the worked example at the top together first, then let your child try the rest.
Done on paper? A grown-up can record it on the child's page in PlayOwl; downloading alone doesn't count as finished.
Logic & Puzzles · Grade 7
More like this
Sudoku 6 by 6: four everyday puzzles
Logic & Puzzles · 6–7 · Logic · 1 page
Analogies and relationships match-up
Logic & Puzzles · 7–8 · Worksheet · 1 page
Whose pet is whose? A 3-friend logic grid: warm-up
Logic & Puzzles · 2–8 · Logic · 1 page
Sudoku 9 by 9: two tricky puzzles
Logic & Puzzles · 6–7 · Logic · 1 page
Magic squares: 4 by 4 puzzles
Logic & Puzzles · 4–5 · Puzzle · 1 page
Giant maze: find the way through the hedge maze
Logic & Puzzles · Grade 7 · Logic · 1 page
Printable generator
Make your own printables
Make brand-new sheets like this one, with answer keys, using the printable generator that comes with a PlayOwl plan. This sheet stays free.