Question

(i) 4. 6. 8. 12
(11) 7. 42. 13, 78
(u) 33, 121.9.96
(iv) 22, 33, 42. 63
(v) 32, 48, 70, 210
(vi) 150.200.250.300
2. Verify the following:
(i) 60 : 105 ::84: 147
(ii) 91 : 104 :: 119: 136
(iii) 108 : 72 :: 129 : 86
(iv) 39 : 65 :: 141 : 235
3. Find the value of x in each of the following proportions:
(i) 55 : 11 ::x:6
(ii) 27 :x:: 63: 84
(iii) 51 : 85 ::57 : x
(iv) x: 92 ::87: 116
4. Write (T) for true and (F) for false in case of each of the following:
(i) 51 : 68 :: 85 : 102 ko

(ii) 36 : 45 : : 80 : 100
(iii) 30 bags : 18 bags : : 450 : 270 (iv) 81 kg : 45 kg : : 18 men : 10 men
(v) 45 km : 60 km :: 12 h: 15 h (vi) 32 kg : 36 :: 8 kg : 39
5. Determine if the following ratios form a proportion:
(i) 25 cm : 1 m and 40: 160
(ii) 39 litres : 65 litres and 6 bottles : 10 bottles
(iii) 200 mL : 2.5 L and 4:50
(iv) 2 kg : 80 kg and 25 g: 625 kg
6. In a proportion, the 1st, 2nd and 4th terms are 51, 68 and 108 respectively.
find the 3rd term.
7. The 1st, 3rd and 4th terms of a proportion are 12,8 and 14 respectively. Find the 2nd term.
8. Show that the following numbers are in continued proportion:
(i) 48, 60, 75
(ii) 36, 90, 225
(iii) 16, 84, 441
9. If 9, x, x, 49 are in proportion, find the value of x.
Hint. x2 = (9*49) = (37) = (3x7) = (21).
10. An electric pole casts a shadow of length 20 m at a time when a tree 6 m high ca
of length 8 m. Find the height of the pole.
Hint. (height of the tree) : (length of its shadow)
(height of the pole): (length of its shadow).
1. Find the value of x if 5:3 ::x: 6.​

Answer 1

Answer:

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