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48 X – Maths
6
1.
(i) .i i
i
f xX
f
(ii) ,i i
i
f dX a
f di = xi – a.
(iii) i i i
ii
f u x aX a h u
hf
2.
1 0
1 0 22f f
l hf f f
f1 =
f0 =
f2 =
h =
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X – Maths 49
3.
2n Cfl hf
n =
Cf =
f =
h =
4. = – 2
5.
x-
x-
x-
x-
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50 X – Maths
1. 10
(a) 5 (b) 6
(c) 5.5 (d) 6.5
2. 4, 6, 8, 10, x, 14 16 10 ‘x’
(a) 11 (b) 12
(c) 13 (d) 9
3. x, x + 1, x + 2, x + 3, x + 4, x + 5 x + 6
(a) x (b) x + 3
(c) x + 4 (d) 3
4. 2, 3, 2, 5, 6, 9, 10, 12, 16, 18 20
(a) 9 (b) 20
(c) 10 (d) 9.5
5. 2, 3, 6, 0, 1, 4, 8, 2, 5
(a) 1 (b) 3
(c) 4 (d) 92
6. 1, 0, 2, 2, 3, 1, 4, 5, 1, 0
(a) 5 (b) 0
(c) 1 (d) 2
7. 2, 3, 5, 4, 2, 6, 3, 5, 5, 2 x 2 ‘x’
(a) 2 (b) 3
(c) 4 (d) 5
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X – Maths 51
8.
10–15 15–20 20–25 25–30 30–35
4 7 12 8 2
(a) 30–35 (b) 20–25
(c) 25–30 (d) 15–20
9.
(a) (b)
(c) (d)
10.
(a) 3 = + 2
(b) 3 = + 2
(c) 3 = + 2
(d) = 3 – 2
11. 19.5 – 29.5
(a) 10 (b) 49
(c) 24.5 (d) 25
12.
(a) (b)
(c) (d)
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52 X – Maths
13.
0–10 10–20 20–30 30–40 40–50 50–60 60–70
4 4 8 10 12 8 4
(a) 20–30 (b) 40–50
(c) 30–40 (d) 50–60
14. 20 17 3
(a) 20 (b) 21
(c) 22 (d) 24
15. 5 18 16
(a) 23 (b) 24
(c) 25 (d) 26
16. 5
(a) 5.5 (b) 5.6
(c) 5.7 (d) 5
17. 3, 4, 6, 8, 14
(a) 0 (b) 1
(c) 2 (d) 3
18. = 15 = 16
(a) 10 (b) 11
(c) 12 (d) 13
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X – Maths 53
19. 11 50 49
52
(a) 56 (b) 55
(c) 54 (d) 53
20. 2.6 ‘x’
1 2 3 4 5
4 5 x 1 2
(a) 24 (b) 3
(c) 8 (d) 13
21. 40 160 165 125
22. 24, 25, 26, x + 2, x + 3, 30, 31, 34
27.5 ‘x’
23.
x : 10 12 14 16 18 20
f : 3 5 6 4 4 3
24. 7.5 ‘p’
3 5 7 9 11 13
6 8 15 8 4
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54 X – Maths
25.
x : 12 16 20 24 28 32
f : 5 7 8 5 3 2
26. 53 P
0–20 20–40 40–60 60–80 80–100
12 15 32 P 13
27. 20-30
10 1
20 14
30 36
40 59
50 60
28. 40
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X – Maths 55
29. 40
30. 62.8 50 x
y
0–20 20–40 40–60 60–80 80–100 100–120
5 x 10 y 7 8
31.
300 0
250 12
200 21
150 44
100 53
50 59
0 60
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56 X – Maths
32. 28.5 60
x y
0–10 10–20 20–30 30–40 40–50 50–60
5 x 20 15 y 5
33.
0–10 10–20 20–30 30–40 40–50 50–60 60–70
6 8 10 15 5 4 2
34. 100
10 10
20 15
30 30
40 50
50 72
60 85
70 90
80 95
90 100
35.
0–10 10–20 20–30 30–40 40–50 50–60 60–70 70–80 80–90 90–100
5 6 8 10 15 9 8 7 7 5
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X – Maths 57
36. 10 50
120–130 130–140 140–150 150–160 160–170 Total
2 8 12 20 8 50
37. 65 50 x y
0–20 20–40 40–60 60–80 80–100 100–120 120–140
6 8 x 12 6 y 3
38. X 35
38–40 40–42 42–44 44–46 46–48 48–50 50–52
3 2 4 5 14 4 3
39. 2008-2009
140–150 150–160 160–170 170–180 180–190 190–200
5 10 20 9 6 2 52
40.
0–5 5–10 10–15 15–20 20–25 25–30 30-35 35-40 40–45
20 24 32 28 20 16 34 10 8
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58 X – Maths
1. c 2. b
3. b 4. a
5. b 6. c
7. a 8. b
9. a 10. b
11. c 12. b
13. c 14. a
15. d 16. b
17. a 18. d
19. a 20. c
21. 161 22. x = 25
23. 14.8 24. p = 3
25. 20 26. 28
29. 147.5 30. x = 8, y = 12
31. 182.50 32. x = 8, y = 7
33. = 30, = 30.67, = 33.33
34. 41.32 35. 47.3
36. = 149.8 , = 151.5 , = 154
37. x = 10, y = 5.
38. = 45.8, = 46.5, = 47.9
39. 166.3 40. 13.33
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