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Magic Squares with Positive and Negative Numbers

In this worksheet, students solve problems with positive and negative numbers using 'Magic Squares'.

'Magic Squares with Positive and Negative Numbers' worksheet

Key stage:  KS 2

Curriculum topic:   Maths and Numerical Reasoning

Curriculum subtopic:   Mixed Problems

Difficulty level:  

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Worksheet Overview

QUESTION 1 of 10

Magic squares have rows, columns and diagonals of numbers adding to the same total.


Fill in the missing numbers.

 

−4 −7 A
B −5 C
−6 D −6

 

Hint

Look at the diagonal from top left to bottom right.  The total of these numbers is -15, which will also be the total of all other rows, columns and diagonal.

A = −4
B = −5
C = −5
D = −3

Magic squares have rows, columns and diagonals of numbers adding to the same total.


Find the missing numbers.

 

3 2 A
0 B 4
3 C D
 ABCD
1
2
3
4

Magic squares have rows, columns and diagonals of numbers adding to the same total.


Find the missing numbers.

 

−4 −7 A
B −5 C
−6 D −6
 ABCD
-5
-3
-4
-1

Magic squares have rows, columns and diagonals of numbers adding to the same total.


Find the missing numbers.

 

5 A B
0 3 6
4 C D
 ABCD
1
2
3
4

Magic squares have rows, columns and diagonals of numbers adding to the same total.


Find the missing numbers.

 

A 2 1
0 B 4
C 2 D
 ABCD
1
2
3
4

Magic squares have rows, columns and diagonals of numbers adding to the same total.


Find the missing numbers.

 

−3 A −2
B −2 C
D E F
 ABCDEF
-1
-2
-3
-4
  • ANSWERS
  • Question 1

Magic squares have rows, columns and diagonals of numbers adding to the same total.


Find the missing numbers.

 

3 2 A
0 B 4
3 C D
CORRECT ANSWER
 ABCD
1
2
3
4
  • ANSWERS
  • Question 2

Magic squares have rows, columns and diagonals of numbers adding to the same total.


Find the missing numbers.

 

−4 −7 A
B −5 C
−6 D −6
CORRECT ANSWER
 ABCD
-5
-3
-4
-1
  • ANSWERS
  • Question 3

Magic squares have rows, columns and diagonals of numbers adding to the same total.


Find the missing numbers.

 

5 A B
0 3 6
4 C D
CORRECT ANSWER
 ABCD
1
2
3
4
  • ANSWERS
  • Question 4

Magic squares have rows, columns and diagonals of numbers adding to the same total.


Find the missing numbers.

 

A 2 1
0 B 4
C 2 D
CORRECT ANSWER
 ABCD
1
2
3
4
  • ANSWERS
  • Question 5

Magic squares have rows, columns and diagonals of numbers adding to the same total.


Find the missing numbers.

 

−3 A −2
B −2 C
D E F
CORRECT ANSWER
 ABCDEF
-1
-2
-3
-4
---- OR ----

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