RIC-0090 Number Grids

Multiple Multiple Patterns – 2
Each cell in the 1–100 grid has been divided into fourths.
1. Shade all the multiples of three in the top left
corner of each cell.
3
Shade all the multiples of four in the top right
corner of each cell.
4
Shade all the multiples of five in the bottom
left corner of each cell.
5
2. List all the numbers that are not shaded at all.
1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
31 32 33 34 35 36 37 38 39 40
41 42 43 44 45 46 47 48 49 50
51 52 53 54 55 56 57 58 59 60
61 62 63 64 65 66 67 68 69 70
71 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87 88 89 90
91 92 93 94 95 96 97 98 99 100
3. What do you notice about these numbers?
4. (a) Which number(s) are shaded in three corners?
(b) Why?
5. The grid only goes as far as 100. Predict which number(s) between 100 and 200 will be
shaded in three corners.
Explain your reasons for making this prediction.
(You may like to check your prediction on a 101–200 grid.)
6. Now consider the multiples of 2, 4, 6 and 8. Mark them on the
grid by shading a different corner for the multiples of each number.
7. Which numbers have exactly two small squares
shaded?
1 2 3 4 5 6 7 8 9 10
8. Which numbers have exactly three small squares
shaded?
9. Which numbers have all four squares shaded?
10. What do you notice about each of these sets of
numbers?
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
31 32 33 34 35 36 37 38 39 40
41 42 43 44 45 46 47 48 49 50
51 52 53 54 55 56 57 58 59 60
61 62 63 64 65 66 67 68 69 70
71 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87 88 89 90
91 92 93 94 95 96 97 98 99 100
R.I.C. Publications www.ricgroup.com.au
50
Number Grids
ISBN 978-1-86311-826-2