1. Write these ratios as fractions in their simplest form:

(a) 3 : 10
(b) 12 : 20
(c) 9 : 4
(d) 2 : 1

2. Write these percentages as ratios in their simplest form:

(a) 20%
(b) 85%
(c) 150%
(d) 100%

3. Express the following ratios as simply as possible:

(a) 6 cm : 12 cm
(b) 14 : 21
(c) $30 : $40
(d) 5 kg : 20 kg : 25 kg

4. Make the units of the following ratios the same and then simplify:

(a) 200 g : 1 kg
(b) $3 : 50c
(c) 100 m : 1 km
(d) 20 minutes : 2 hours

 

5. (a) If 3 : 5 = x : 20, find the value of x.

(b) If d : 5 = 9 : 15, find the value of d.

(c) If , find x.

(d) Find x if 

6. (a) Divide 63 into two parts in the ratio 2 : 5

(b) Two people share $85 in the ratio 4 : 1.

How much does each person receive?

 

(c) A piece of wood, of length 72 cm, 
is cut into three smaller pieces in the ratio 1 : 2 : 3. 
How long is each piece?