Integrated mathematics scheme: IMS T2 - National STEM Centre
Integrated mathematics scheme: IMS T2 - National STEM Centre
Integrated mathematics scheme: IMS T2 - National STEM Centre
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4. (a) 4 (b) 0 (c) 2 (d) 2<br />
The number tells you the remainder by the last digit<br />
P39 A. 1. +<br />
1<br />
2<br />
3<br />
4<br />
5<br />
6<br />
7<br />
8<br />
1 2 345 678<br />
2 3 4 5 6 7 8 10<br />
3 4 5 6 7 8 10 11<br />
4 5 6 7 8 10 11 12<br />
5 6 7 8 10 11 12 13<br />
6 7 8 10 11 12 13 14<br />
7 8 10 11 12 13 14 15<br />
8 10 11 12 13 14 15 16<br />
10 11 12 13 14 15 16 17<br />
2. (a) 16<br />
(b) 10<br />
(c) 13<br />
(d) 4<br />
(e) 1<br />
(f) 7<br />
3. (a) 6<br />
(b) 6<br />
(c) 5<br />
(d) 4<br />
(e) 6<br />
(f) 5<br />
B. 1. x<br />
1 234 5 678<br />
1<br />
2<br />
3<br />
4<br />
5<br />
6<br />
7<br />
8<br />
1 234 5 678<br />
2 4 6 8 11 13 15 17<br />
3 6 10 13 16 20 23 26<br />
4 8 13 17 22 26 31 35<br />
5 11 16 22 27 33 38 44<br />
6 13 20 26 33 40 46 53<br />
7 15 23 31 38 46 54 62<br />
8 17 26 35 44 53 62 71<br />
All numbers in the table are base 9<br />
2. (a) 44 (b) 40 (c) 38 (d) 7 (e) 7<br />
(f) 6 (g) 6 (h) 4 (i) 13<br />
(40g -:- 6 so 80g -:- 6 = 6 x 2 = 13g)<br />
3. (a) Is like the 9 times table. 9, 18, 27, ....<br />
going down by 1 in the units and up by 1 in the 10s.<br />
(b) The last figures of the squares are 1 4 0 717 0 4 1 in base 9. In<br />
base 10 they are 1 4 9 6 $ 6 9 4 1. Both patterns are<br />
symmetrical.<br />
(c) The 3 times table, base 9 is like the 5 times table in base 10<br />
with a repeating simple pattern.<br />
58