RIC-0090 Number Grids

Games, Activity Notes and Answers
Shape Shifter
page 55
1. 24
2. 27
3. 30, 33, 36, 39, 42, 45, 48
4. The totals increase by three
each time.
5. 24, 54, 84, 114, 144, 174,
204, 234, 264.
6. The totals increase by thirty
each time.
7. 24, 57, 90, 123. The total increases by 33 as the ‘L’
shape moves in a diagonal across the page.
Windows and Overlays – 1
page 56
1. The two numbers are 10
apart.
2. The two numbers are one
apart.
3. (a) Window (B) produces two
numbers eight apart.
(b) Window (C) produces
two numbers 17 apart.
(c) Window (D) produces
two numbers nine apart.
(d) Window (E) produces two numbers 18 apart.
4. Window (B) when rotated 90º produces two numbers
that are 21 apart.
Window (C) when rotated 90º produces two numbers
that are 32 apart.
Window (D) when rotated 90º produces two numbers
that are 11 apart.
Window (E) when rotated 90º produces two numbers
that are 22 apart.
Windows and Overlays – 2
page 57
1. + 11 window
2. + 3 window
3. + 8 window
4. + 12 window
Challenge: When the multiples of 9 are cut out and the
grid overlaid and rotated 90º a +11 window is produced.
Note to teachers: Some students may find it difficult to
cut out the multiples of nine so you may wish to prepare
an overlay for the overhead projector.
Odd Square
page 58
Multiplying the centre number
by four will produce the same
total as adding the four corner
numbers. The same relationship
exists in a 5x5 square and a 7x7
square.
Reversals
page 59
The results will always be a
multiple of nine.
Note: The position on the window does not matter but the
relative position of the cut-out does.
R.I.C. Publications www.ricgroup.com.au
26
Number Grids
ISBN 978-1-86311-826-2