$Magic squares 4 by 4 with negative numbers: math puzzle for Grade 12, page 1 preview$

Math puzzle · Mathematics

Magic squares 4 by 4 with negative numbers · Grade 12

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 12 · ages 17 to 18
Easy
10 to 15 minutes
1 page
Free

The answer key is a separate page for grown-ups. Sign in to download it.

Make another one like this

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 90
Magic sum 206
Magic sum 50
−1 2 26
17 −7
Magic sum 118

What your child practices

Your child practices math for Grade 12 with this math puzzle.

Grades and ages: Grade 12, ages 17 to 18
Time: About 10 to 15 minutes
Subject: Mathematics
Level: Easy for Grade 12
Answer key: Yes, for grown-ups who sign in
Printing: 1 page, US Letter or A4, low-ink option
Updated: October 15, 2026

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 one of the easier sheets for Grade 12, good as a warm-up or a first look at the topic.

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.