Mathematics Year 9

1
Unit 1 Magic squaresLesson 1 Its magic
7.1.1
2
The objective of this lesson is

• to represent problems mathematically.

7.1.1
3
Make it magic
What is the total of these three numbers?
27
12
7
8
13
9
5
27
10
11
6
27
27
27
27
27
27
7.1.1
4
More magic
If all the straight lines of numbers add up to
the same total then the square is called amagic
square. The total is calledthe magic total.
27
7
12
8
13
9
5
27
10
11
6
27
27
27
27
27
27
7.1.1
5
More magic
Which of these squares are magic squares? What
are their magic totals?
60
84
7.1.1
6
More magic
How can the middle square be made magic? Change
12
to 13
3
14
10
13
9
5
12
12
8
15
4
60
84
7.1.1
7
More magic
Its magic!
7.1.1
8
More magic
Find the missing numbers in each square. What are
the magic totals?
5
17
20
2
11
14
5
13
12
13
11
14
17
9
12
11
10
9
12
6
8
23
11
4
16
7
8
15
7
42
30
27
7.1.1
9
More magic
What is a quick way of finding the magic total?
Multiply the centre number by 3
5
17
20
2
11
14
5
13
12
13
11
17
12
11
9
12
6
14
9
10
14
9
10
8
23
11
4
16
7
8
15
7
42
30
27
7.1.1
10
More magic
The magic square that useseach of the numbers
19 isattributed to Emperor Yu. He reigned in
Chinain about 2200BC. The study of magic squares
has continued since then using squares of
different sizes.
7.1.1
11
More magic

• In the next part of the lesson you will
• identify which squares are magic
• complete magic squares
• use number sequences to make magic squares.

Magic total 3 x centre number
7.1.1