Maths

Power of Maths: Paper 1 – Answers
Answers
20
Section 1
Number
Activity 1
1.
2.
N
1
Primes
7
Natural
number
N
Divisors
11
15
25
Prime
number
32
Composite
number
(a) 8 1, 2, 4, 8
(b) 13 1, 13
(c) 19 1, 19
(d) 22 1, 2, 11,
22
(e) 37 1, 37
(f) 81 1, 3, 9,
27, 81
(g) 96 1, 2, 3, 4,
6, 8, 12,
16, 24,
32, 48, 96
(h) 111 1, 3, 37,
111
3. (a) 2, composite ( b) 5, composite, they all are
divisible by 5 (c) composite, they are all even
(d) 1, prime (e) 3 (i) 9, 531 = 3 × 177
(ii) 9, 5121 = 3 × 1707 (iii) 18, 14 733 = 3 × 4911
(iv) 39, 5 162 154 627 = 3 × 1 720 718 209;
they are all divisible by 3
Activity 2
2, 3, 5, 7
11, 13, 17, 19
23, 29
31, 37
41, 43, 47
53, 59
61, 67
71, 73, 79
83, 89
97
Activity 3
1. 2 × 2 × 2 × 2 × 3 2 × 2 × 2 × 2 × 2 × 2
48 = 2 4 × 3, 64 = 2 6 ,
2.
2 × 2 × 2 × 2 × 2
32 = 2 5
A B C Product Sum
(a) 36 1 1 36 38
(b) 18 2 1 36 21
(c) 12 3 1 36 16
(d) 9 4 1 36 14
(e) 9 2 2 36 13
(f ) 6 6 1 36 13
(g) 6 3 2 36 11
(h) 4 3 3 36 10
Activity 4
1. ____ 17
100
Activity 5
2. ____ 329
100
3. _____ 623
1000
4. − ____ 612
10
2. (a) Irrational ( b) Irrational (c) Rational
(d) Rational (e) Irrational (f ) Irrational
( g) Irrational ( h) Rational ( i) Rational
( j ) Rational (k) Rational (l) Rational
( m) Irrational (n ) Rational (o) Irrational
3. R
Q
Z
5
··
0·29
4. 8 __
5
= 1·6
N
–3
5
0
5·3
11 ___
9 = 1· ˙ 2
15 __
13
4
2
– –
7
1
π
0·3·
5. _____ 101
1000
Activity 7
1. (a) 5 ( b) 4 (c) 3 (d)
2 1__ 2__
__
(e)
3 ( f) √ 2 ( g) π
__
(h) 1·2 2. (a) 4 (b) 3 (c) √ 2 (d) 0⋅5 (e) 2⋅8
(f )
3 1__ 2__
__
(g)
5 ( h) 3 √ 2