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Mathematics for IGCSE & O level - Rates (Section 2)

1
How many minutes will it take a tap to fill a 500 litre bath if the flow is 25 litres/min?
Answer
(C)
20 mins
2
A rubber ball with volume 28.3 cm³ has density 0.7 g/cm³. What is its mass?
Answer
(B)
19.8 g
3
A runner covers 180 meters in 40 seconds. What is the average speed?
Answer
(A)
4.5 m/s
4
What is the pressure exerted on a table if the force is 120 N and the area is 0.2 m²?
Answer
(B)
600 N/m²
5
An oil tank contains 1500 litres. Oil is used at a rate of 2 litres/hour. How much oil is left in the tank after 7 days?
Answer
(B)
1066 liters
6
What is the rate of pay per hour if Jo receives $216 for working 25 hours?
Answer
(A)
$8.64
7
Flour is loaded into a lorry which holds 20 tonnes. It takes 40 minutes to load the lorry. What is the rate of flow, in kilograms per minute?
Answer
(A)
500 kg/min
8
What is the average rate of flow if it takes half an hour to fill a 1000 litre tank?
Answer
(D)
2000 l/hr
9
What is the population density of a town with 60,000 people in an area of 8 square kilometers?
Answer
(A)
7,500 people/km²
10
A foam plastic ball with volume 20 cm³ has density 0.3 g/cm³. What is its mass?
Answer
(A)
6 g
11
What is the average rate of flow if it takes 30 minutes to fill a 1000 liter tank?
Answer
(D)
500 L/hr
12
How much does Nila earn if she works 15.5 hours and is paid $18.70 per hour?
Answer
(B)
$289.85
13
How many minutes does it take to walk 2 km at a speed of 5 km/h?
Answer
(B)
24 minutes
14
A town has a population of 200,000. Its population density is 10,000 people per square mile. What is the area of the town?
Answer
(B)
15 square miles
15
If a foam plastic ball has a volume of 20 cm³ and a density of 0.3 g/cm³, what is its mass?
Answer
(A)
6 g
16
What is the average rate of flow if it takes 30 minutes to fill a tank with 1000 litres?
Answer
(C)
1000 L/min
17
A car travels 75 kilometers in 1.5 hours. What is the average speed of the car?
Answer
(B)
50 km/h
18
A runner's average speed in an 80 m race is 7 m/s. Find the time she takes for the race, to the nearest 0.1 second.
Answer
(B)
11.4 s
19
What is the average speed of a car that travels 75 km in 1.5 hours?
Answer
(B)
50 km/hr
20
The density of gold is 19.3 g/cm³. Calculate the mass of a gold bar with a volume of 30 cm³.
Answer
(A)
579 g
21
The population of Waring is 60,000 in an area of 8 square kilometres. What is the population density?
Answer
(B)
7500 people/km²
22
A car travels 75 kilometers in 1.5 hours. Calculate its average speed.
Answer
(C)
50 km/h
23
A runner's average speed in an 80 m race is 7 m/s. Find the time she takes for the race, to the nearest 0.1 second.
Answer
(C)
11.4 s
24
A cyclist rides 0.6 kilometers in 3 minutes. What is the average speed in kilometers per hour?
Answer
(A)
8 km/h
25
What is her rate of pay per hour if Jo receives $216 one week when she works 25 hours?
Answer
(A)
$8.64
26
Which of the following are examples of a compound measure?
Answer
A
B
C
27
Water from a tap flows at 25 litres/minute. How long will it take for this tap to fill a bath that holds 500 litres?
Answer
(B)
20 minutes
28
Calculate the pressure that a force of 200 N exerts on an area of 2.5 m².
Answer
(B)
80 N/m²
29
What is the population density of a town with 65,000 people in an area of 5.8 square kilometres, rounded to the nearest thousand?
Answer
(C)
11,207 people/km²
30
Calculate the density of a stone of mass 350g and volume 40cm³.
Answer
(B)
8.75 g/cm³