Chapter 1 Rate and Ratio

An engine consumes 210 L of petrol in 45 minutes. Find the rate of petrol consumption for the engine in L/h.

• 4.67 L/h

• 78 L/h

• 280 L/h

• 320 L/h

Which of the following horses runs the fastest?

• Horse A: 15 m/s

• Horse B: 800 m/min

• Horse C: 0.5 km/min

• Horse D: 60 km/h

The plans of mobile phone service offered by different companies are listed as follows:

Monthly Fee Airtime (min)

Company A $80 270

Company B $75 250

Company C $85 285

Company D $70 225

Which company provided the cheapest service for each minute?

• Company A

• Company B

• Company C

• Company D

A certain kind of carrot is sold at $8/kg. What is the price for 16 kg of carrot?

• $2

• $32

• $64

• $128

A shop sells peanuts at $24/kg. Find the weight of peanuts Mrs Lee has bought if she paid $6 for the peanuts.

• 0.25 kg

• 1.44 kg

• 4 kg

• 144 kg

A swimming pool of capacity 2000 L is full of water. If the water is discharged at a rate of 40 L/min, how much water is left in the swimming pool 20 minutes 30 seconds later?

• 820 L

• 812 L

• 1180 L

• 1200 L

If a and b are non-zero numbers such that

a +4b : 6a - 8b = 5 : 2,

then a : b =

• 7 : 12.

• 7 : 36.

• 12 : 7.

• 36 : 7.

Determine whether a rate or ratio should be used to relate the quantities in each of the following statements.

(i) A factory takes 3 days to produce 630 switches.

(ii) The height and width of a door are 2.3 m and 1 m respectively.

• (i) Rate (ii) Rate

• (i) Rate (ii) Ratio

• (i) Ratio (ii) Rate

• (i) Ratio (ii) Ratio

 $\frac{9}{2}:\frac{6}{5}=$  

• 15 : 4
  

• 4 : 15
  

• 5 : 27
  

• 27 : 5
  

Simplify 2400 g : 3 kg.

• 800 : 1

• 4 : 5

• 5 : 4

• 8 : 1