Mathematics for IGCSE & O level - Rates (Section 1)
1
Hanif is paid at a rate of $5.70 per hour. One week he works 42 hours. How much does he earn in this week?
Απάντηση
(A)
$239.40
2
Nila has a part-time job. Her rate of pay is $18.70 per hour. How much does she earn in a week if she works for 15 hours 30 minutes?
Απάντηση
(B)
$289.85
3
What is the mass of a gold bar with a volume of 30cm³ (density of gold is 19.3 g/cm³)?
Απάντηση
(A)
579 g
4
A rubber ball has a volume of 28.3 cm³ and a density of 0.7 g/cm³. What is its mass?
Απάντηση
(A)
19.81 g
5
What does population density measure?
Απάντηση
(A)
The number of people per area
6
The density of gold is 19.3 g/cm³. Calculate the mass of a gold bar with a volume of 30cm³.
Απάντηση
(A)
579 g
7
What is the formula to calculate average speed?
Απάντηση
(A)
Total distance / Total time
8
A foam plastic ball with a volume of 20 cm³ has a density of 0.3 g/cm³. What is its mass?
Απάντηση
(A)
6 g
9
Which of the following is NOT required to calculate the speed?
Απάντηση
(C)
Mass
10
What units should be used when calculating population density?
Απάντηση
(A)
People/km²
11
If a car travels 200km in 4 hours, what is its average speed?
Απάντηση
(A)
40 km/h
12
What do you need to do to calculate population density?
Απάντηση
(A)
Divide the population by the area
13
Find the force needed to exert a pressure of 15 N/m² on an area of 0.8 m².
Απάντηση
(C)
12 N
14
Which two measurements are needed to calculate the density?
Απάντηση
(C)
Mass and Volume
15
If a tap flows at 25 litres/minute, how much water will it release in 10 minutes?
Απάντηση
(A)
250 litres
16
Jo receives $216 one week when she works 25 hours. What is her rate of pay per hour?
Απάντηση
(A)
$8.64
17
What is the name of the triangle that can be used to solve speed problems?
Απάντηση
(A)
DST triangle
18
Trenton has a population of 65,000 in an area of 5.8 square kilometers. Calculate its population density, correct to the nearest thousand.
Απάντηση
(B)
12,000 people/km²
19
What formula is used to calculate pressure?
Απάντηση
(A)
Force / Area
20
If a person earns $100 for working 8 hours, what is their hourly rate of pay?
Απάντηση
(A)
$10/hour
21
Which of the following is a compound measure?
Απάντηση
(C)
Speed
22
Which of these units are measures of rate?
Απάντηση
A
B
23
A town has a population of 60,000 in an area of 8 square kilometers. Calculate its population density.
Απάντηση
(A)
7,500 people/km²
24
What is the total distance traveled if the speed is 60 km/h for 2.5 hours?
Απάντηση
(A)
150 km
25
Which unit is commonly used to measure pressure?
Απάντηση
(A)
N/m²
26
What are the units for speed?
Απάντηση
(C)
All of the above
27
Calculate her average speed, in kilometers per hour. A cyclist rides 0.6 kilometers in 3 minutes.
Απάντηση
(A)
12 km/h
28
What information is needed to calculate the density of a substance?
Απάντηση
A
B
29
What is the total time taken for a journey if the distance is 100km at a speed of 50 km/h?
Απάντηση
(B)
2 hours
30
A bus travels at 5 m/s on average. How many kilometers per hour is this?
Απάντηση
(A)
18 km/h
31
In a small town, 300 people live in an area of 2.4 km². Find the population density of the town.
Απάντηση
(B)
125 people/km²
32
A car travels at 100 km/h. How far will it travel in 30 minutes?
Απάντηση
(B)
50 km
33
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?
Απάντηση
(B)
50 sq miles
34
What is a common unit for measuring the density of a substance?
Απάντηση
(A)
g/cm³
35
Which factors influence the average rate of flow?
Απάντηση
A
B
C
36
If the volume of a stone is 40cm³ and the density of the stone is 8.75 g/cm³, what is the mass?
Απάντηση
(A)
350g
37
If a substance has a density of 2 g/cm³ and a volume of 5 cm³, what is its mass?
Απάντηση
(D)
10 g
38
A runner's average speed in an 80m race is 7 m/s. Find the time she takes for the race, to the nearest 0.1 second.
Απάντηση
(C)
11.6 s
39
Which of the following are examples of compound measures mentioned in the text?
Απάντηση
A
B
C
40
The area of a rectangle is 10 m². If a force of 20 N is applied to the rectangle, what is the pressure exerted?
Απάντηση
(B)
20 N/m²
41
If a cyclist travels 0.6 km in 3 minutes, what is their average speed in km/h?
Απάντηση
(B)
12 km/h
42
What are the units to measure rate of flow?
Απάντηση
A
B
D
43
What is the mass of a foam plastic ball with a volume of 20 cm³ and a density of 0.3 g/cm³?
Απάντηση
(A)
6 g
44
What is the area of the town if a town has a population of 276,300 with a population density of 9800 people per square mile?
Απάντηση
(B)
26.8 sq miles
45
How many kilometers per hour is 5 m/s?
Απάντηση
(B)
18 km/h
46
A heavy box is placed on a table. The base of the box is a rectangle measuring 50cm by 40cm. The box exerts a force of 120N on the table. Calculate the pressure exerted on the table, in N/m².
Απάντηση
(B)
600 N/m²
47
A bus travels at 5 m/s on average. What is the speed in kilometers per hour?
Απάντηση
(A)
15 km/h
48
What is the mass of a gold bar with a volume of 30 cm³ and a density of 19.3 g/cm³?
Απάντηση
(B)
579 g
49
It takes half an hour to fill a 1000 litre tank. What is the average rate of flow?
Απάντηση
(C)
2000 L/h
50
Calculate the pressure exerted if a force of 120N is applied over an area of 0.2m².
