Answer:s
1.1 Multiplication and Division
1. (a) 20 (b) 21 (c) 36 (d) 42 (e) 45 (f) 18
(g) 28 (h) 49 (i) 40 (j) 8 (k) 9 (l) 4
(m) 7 (n) 7 (o) 9 (p) 0 (q) 0 (r) 0
2. (a) 3 (b) 7 (c) 4 (d) 8 (e) 3 (f) 4 (g) 9
(h) 7 (i) 3 (j) 7 (k) 4 (l) 5 (m) 2 (n) 4
(o) 7 (p) 0 (q) 0 (r) 0
3. 24
4. 27
5. (a) 16 (b) 28 (c) 32
6. (a) 6 (b) 3 (c) 4
7. 8
8. (a) 35 (b) 14 (c) 42
9. (a) Daniel 70p, Joel 56p (b) Daniel has 14p more than Joel
10. (a) 80 (b) 64 (c) 40
11. £6
12. (a) 9 (b) 7, with 1 left over
13. Team A: 7, Team B: 21, Team C: 14, Team D: 14 14. (a) 7 (b) 5
1.2 Squares, Cubes, Square Roots and Cube Roots
1. (a) 25 (b) 36 (c) 1 (d) 49 (e) 6 (f) 1 (g) 7
(h) 5
2. (a) 27 (b) 64 (c) 216 (d) 1000 (e) 3 (f) 10
(g) 6 (h) 4
3. (a) 100 (b) 4 (c) 16 (d) 49 (e) 64 (f) 81
(g) 1 (h) 343 (i) 512 (j) 0 (k) 0 (l) 8
4. (a) 10 (b) 2 (c) 9 (d) 8 (e) 4 (f) 3
5. (a) 144 (b) 121 (c) 3375 (d) 2197 (e) 169 (f) 225
(g) 400 (h) 1331 (i) 11 (j) 20 (k) 13 (l) 15
(m) 15 (n) 13 (o) 12 (p) 11
6. (a) 52 (b) 5 (c) 116 (d) 25 (e) 16 (f) 72
(g) 1001 (h) 100
MEP Pupil Text 1-6 Answers
252
1.3 Index Notation
1. (a) 45
(b) 33
(c) 67
(d) 74
(e) 183
(f) 192
(g) 46 (h) 75
(i) 106
(j) 1005
2. (a) 81 (b) 625 (c) 2401 (d) 10 000 (e) 1 (f) 729
(g) 128 (h) 2 (i) 4096 (j) 4 (k) 1 (l) 25
3. (a) 211 (b) 39
(c) 313 (d) 45
(e) 54
(f) 55
(g) 42 (h) 53
(i) 32 (j) 74
(k) 172 (l) 94
(m) 45
(n) 416 (o) 36 (p) 3 1 0 = (q) 3 3 1 =
(r) 35 (s) 37
(t) 47 (u) 50
4. (a) 22 (b) 23
(c) 24 (d) 26
(e) 33
(f) 52
(g) 43
(h) 34
(i) 53
5. (a) 313 (b) 28
(c) 411 (d) 310 (e) 29
(f) 210
(g) 35 (h) 37
(i) 35 (j) 810 (k) 73
(l) 92
(m) 2 4 4 2 or (n) 23
(o) 23
6. (a) 23
(b) 103
(c) 24 (d) 33
(e) 34
(f) 104
(g) 54
(h) 43
(i) 64
(j) 20 (k) 62
(l) 50
7. (a) 26
(b) 34
(c) 66
(d) 56
(e) 28
(f) 46
(g) 38
(h) 58
(i) 36
8. (a) 28
(b) 24 (c) 310 (d) 53
(e) 105 3
( ) (f) 75 4
( )
9. (a) 36 (b) 214 (c) 512 (d) 73
(e) 74
(f) 27
(g) 3 1 0 = (h) 4 4 1 = (i) 2 2 1 =
10. (a) a5
(b) a10 (c) x9 (d) x2 (e) y3
(f) p3
(g) q3
(h) x8
(i) b3
(j) b6
(k) c3
(l) x5
(m) y2
(n) x 0 = 1 (o) x8
(p) p4 (q) x3
(r) y4
(s) x 0 = 1 (t) x x 1 = (u) x12 (v) x8
(w) x15
(x) x54
11. (a) p = 3 (b) q = 0
12. 2 4 x
MEP Pupil Text 1-6 Answers
253
1.4 Factors
1. (a) 1, 2, 7, 14 (b) 1, 3, 9, 27 (c) 1, 2, 3, 6 (d) 1, 3, 5, 15
(e) 1, 2, 3, 6, 9, 18 (f) 1, 5, 25 (g) 1, 2, 4, 5, 8, 10, 20, 40
(h) 1, 2, 4, 5, 10, 20, 25, 50, 100 (i) 1, 3, 5, 9, 15, 45
(j) 1, 2, 5, 10, 25, 50 (k) 1, 2, 3, 4, 6, 9, 12, 18, 36 (l) 1, 2, 4, 7, 14, 28
2. (a) 1 10 2 5 5 2 10 1 × ×× × ,,, (b) 1 82 44 28 1 ×× × × ,,,
(c) 1 77 1 × × , (d) 1 93 39 1 ××× , ,
(e) 1 16 2 8 4 4 8 2 16 1 × ××× × ,,,, (f) 1 22 2 11 11 2 22 1 ×× ×× ,,,
(g) 1 11 11 1 × × ,
(h) 1 24 2 12 3 8 4 6 6 4 8 3 12 2 × × ×××× × , ,,,,, , 24 1 ×
3. (a) 4 (b) 3 (c) 3 (d) 4 (e) 5 (f) 4 (g) 11
(h) 1
4. (a) 6, 10, 20, 8, 2, 24, 4 (b) 10, 20, 15, 55
5. (a) (i) 20, 22, 24, 26 (ii) 21, 24, 27 (iii) 20, 25
(b) prime numbers
6. (a) (i) 16 (ii) 18 (b) (i) 25 (ii) 27
1.5 Prime Factors
1. 2, 3, 5, 7, 13, 19, 23
2. 53, 59
3. (a) 2 5 × (b) 237 × × (c) 2 17 2 × (d) 2 37 3 × ×
(e) 2 53 × (f) 23 5 3 × × (g) 3 11 13 × × (h) 3 5 11 2 × ×
(i) 7 11 13 × ×
4. (a) 32 25 = and 56 2 7 3 = × (b) 2 8 3 (= )
5. (a) 236 × = (b) 236 × = (c) 3 5 15 × = (d) 2
(e) 2 5 10 × = (f) 5 7 35 × = (g) 2 3 24 3 × =
(h) 2 3 13 78 ×× = (i) 3 7 147 2 × =
6. (a) 45 3 5 2 = × , 99 3 11 2 = × , 135 3 5 3 = ×
(b) (i) 3 9 2 = (ii) 3 9 2 = (iii) 3 5 45 2 × = (c) 3 9 2 =
7. (a) 5 (b) 3 5 45 2 × = (c) 2 8 3 = (d) 2 5 10 × =
(e) 2 3 24 3 × = (f) 2 3 5 30 ××= (g) 2 3 108 2 3 × =
(h) 2 11 44 2 × = (i) 2 3 7 252 2 2 × ×=
MEP Pupil Text 1-6 Answers
254
1.6 Further Index Notation
1. (a) 1
16 (b) 1
8
(c) 1
6
(d) 1
7
(e) 3 (f) 8 (g) 2
(h) 3 (i) 1 (j) 1
25 (k) 8 (l) 32 (m) 2187
(n) 125 (o) 1
2
2. (a) – 4 (b) – 1 (c) – 3 (d) 1
2
(e) − 1
2
(f) 2
(g) 3 (h) – 1 (i) 1
3
(j) – 1 (k) – 2 (l) – 2
(m) – 3 (n) 1
2
(o) – 2 (p) 1
3
(q) 2
3
(r) 2
5
3. (a) 0.125 (b) 0.05 (c) 2 (d) 4 (e) 1
225 = 0 004444 . ...
(f) 0.000125 (g) 729 (h) 27 (i) 1
2
(j) 1728
(k) 62748517 (l) 1331
4. (a) 1
a
(b) a10 (c) a4 (d) 1
6 a
(e) 1
2 a
(f) 1
6 a
(g) a8
(h) a
5
2 (i) 1
3
2 a
(j) a2 (k) 1
3 a
(l) a3
(m) a
b
2
2 (n) a
b
6
12 (o) a b 12 2 (p) b
a
4
4 (q) a
b
8
12
(r) m
n
2
6 (s) a
b
3
5 (t) m
a
2
(u) c
a b
3
4 (v) x
m2
(w) z
x y
12
8 4 (x) b
a
16
3
2
5. (a) 1
9
(b) a4 (c) y = 5
2
Explanation:
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