Deck 6: Ratio, Proportion, Powers, Roots, Indices and Units

Question 1

In a box of 1500 nails, 125 are defective. Express the non-defective nails as a ratio of the
defective ones, in its simplest form.

Answer 1

Defective nails = 125; non-defective nails = 1500 - 125 = 1375
Ratio of non-defective:defective is 1375:125
= 55:5
= 11:1 in its simplest form.

Question 2

Prize money in a lottery totals £4500 and is shared among three winners in the ratio 5:3:1. How
much does the first-prize winner receive?

Answer 2

Question 3

A simple machine has an effort:load ratio of 3:41. Determine the effort, in newtons, to lift a
load of 6.15 kN.

Answer 3

Question 4

If 15 cans of lager weigh 7.8 kg, what will 24 cans weigh?

Question 5

Question 6

If 12 inches = 30.48 cm, find the number of millimetres in 17 inches.

Question 7

If x is inversely proportional to y and x = 12 when y = 0.4, determine:
(a) the value of x when y is 3, and (b) the value of y when x = 2

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17