Unit 1 - Chapter 05 - Ratio and Proportion

What is the ratio between the lengths of two pipes that are 150 m and 100 m? a) 1.5 to 1 b) 2.5 to 1 c) 3.5 to 1 d) 4.5 to 1 e) 5.5 to 1

a

A certain chemical mixture should be in the ratio of 4 parts A, 6 parts B, and 2 parts C. If a 15 kg batch is to be mixed, what quantities in kgs of A, B, and C should be used in the batch? a) A = 5, B = 7.5, and C = 2.5 b) A = 4, B = 6, and C = 5 c) A = 5, B = 6, and C = 4 d) A = 4.5, B = 6.5, and C = 4 e) A = 3.5, B = 5.5, and C = 6

a

If bell metal is 25 parts copper to 12 parts tin, what is the weight of each in a bell weighing 1850 kg? a) copper = 1,250 kg and tin = 600 kg b) copper = 1,152 kg and tin = 550 kg c) copper = 1,050 kg and tin = 565 kg d) copper = 1,350 kg and tin = 625 kg e) copper = 1,235 kg and tin = 650 kg

a

In the expression 8:x::16:8, x equals: a) 4 b) 16 c) 2.5 d) 32 e) 16

a

Public swimming pools require 3 parts chlorine liquid and 2 parts salt water to every 100 parts water to kill bacteria. How much chlorine liquid is required in a 4,000 L pool? a) 114.29 L b) 76.19 L c) 100 L d) 3,809.52 L e) 89.23 L

a

A chemical mixture should be in the ratio of 9 parts A, 2 parts B and 5 parts C. A 64 kg batch is to be mixed. What quantity of A is required? a) 52.36 kg b) 36 kg c) 20 kg d) 8 kg e) 2.25 kg

b

A gear has 1,000 teeth and revolves at 50 r/min. The driven gear has 32 teeth. How fast does it turn? a) 12.2 r/min b) 1,562.5 r/min c) 609.8 r/min d) 640 r/min e) 390.2 r/min

b

What is the ratio between 75 L and 1.5 L in lowest terms? a) 75 to 15 b) 50 to 1 c) 0.2 d) 5 to 1 e) None of the above

b

What is the ratio between a mass of 4,500 kg and 150 kg? a) 20 to 1 b) 30 to 1 c) 40 to 1 d) 50 to 1 e) 55 to 1

b

What is the ratio between the temperatures 15 degrees C and 5 degrees C? a) 2 to 1 b) 3 to 1 c) 4 to 1 d) 5 to 1 e) 6 to 1

b

A driving gear has 60 teeth and turns at 750 rpm. The driven gear has 90 teeth. What is the speed of the driven gear in rpm? a) 1,125 b) 1,000 c) 500 d) 450 e) 400

c

Concrete must be mixed with the ratio of 5 parts cement, 3 parts gravel and 4 parts water. If 6 tons of concrete is to be mixed how much gravel is required? a) 2.4 tons b) 2.5 tons c) 1.5 tons d) 2 tons e) 1,865 tons

c

Find the second (x) term of the proportion 21:x = 35:5 a) 1 b) 2 c) 3 d) 4 e) 5

c

A supply fan is driven by an electric motor by means of V-belts. The pulley on the motor shaft is 90 mm in diameter and rotates at 1,800 rpm. The diameter of the pulley on the fan shaft is 300 mm. What is the speed of the fan in rpm? a) 2,000 b) 1,800 c) 900 d) 540 e) 450

d

Find the third (x) term of the proportion 27:15 = x:360 a) 450 b) 550 c) 650 d) 648 e) 756

d

If mass is inversely proportionate to cost then a) as mass increases cost will double b) as mass increases cost will increase directly c) as cost decreases mass will decrease d) as mass increases cost will decrease e) as cost increases the mass will double

d

In the following expression 4:8::2:4 which term(s) is(are) the extreme(s)? a) 8 only b) Both 8 and 2 c) 4 only d) 4 and 4 e) Both 2 and 4

d

What is the ratio between the areas of two objects that are 25 square metres and 5 square metres? a) 2 to 1 b) 3 to 1 c) 4 to 1 d) 5 to 1 e) 6 to 1

d

A gear wheel 330 mm in diameter and revolving at a speed of 200 rpm drives a wheel 150 mm in diameter. What is the speed in rpm of the second gear? a) 91 b) 100 c) 330 d) 400 e) 440

e

A gear wheel 65 cm in diameter revolving at 225 r/min drives a wheel 85 cm in diameter. What is the speed of the second gear? a) 3.46 r/min b) 150 r/min c) 206.39 r/min d) 97.5 r/min e) 172.06 r/min

e

Find the first (x) term of the proportion x:1850 = 25:37 a) 950 b) 1050 c) 1150 d) 1200 e) 1250

e

Find the last (x) term of the proportion 8:4 = 26:x a) 2 b) 3 c) 10 d) 11 e) 13

e

If 15 tonnes of coal cost $360, what will 27 tonnes cost at the same rate per tonne? a) 255 b) 345 c) 625 d) 723 e) 648

e

If 25 workers can do a piece of work in 30 days, in how many days can 35 workers do the same work? a) 20.00 b) 18.00 c) 20.25 d) 19.15 e) 21.43

e

What is the ratio between a mass of 36 kg and 928 L? a) 232 to 9 b) 45.6 c) 0.088 kL d) 4.59 e) None of the above

e

What is the ratio between the volumes 24 cubic metres and 3 cubic metres? a) 4 to 1 b) 5 to 1 c) 6 to 1 d) 7 to 1 e) 8 to 1

e