igureMaths
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Speed, distance and time
15 questions
Lesson
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A drone flies 27 km at an average speed of 36 km/h. Work out how long the flight takes. Give your answer in minutes.
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Level 4
3 marks
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A train travels for 40 minutes at an average speed of 90 km/h, and then for 20 minutes at an average speed of 120 km/h. Work out the average speed for the whole journey, in km/h.
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Level 4
4 marks
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Priya drives
90
90
90
km at an average speed of
72
72
72
km/h. She then stops at a service station for
15
15
15
minutes, and finally drives a further
30
30
30
km at an average speed of
60
60
60
km/h.
Work out her average speed for the whole journey,
including the stop
.
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Level 4
4 marks
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A lorry makes a delivery journey of
280
280
280
km in exactly
4
4
4
hours.
For the first
1.5
1.5
1.5
hours it travels at an average speed of
80
80
80
km/h.
Work out its average speed over the rest of the journey.
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Level 4
4 marks
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Density and pressure
19 questions
Lesson
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A crate weighs 480 N and rests on horizontal ground on a rectangular base measuring 0.6 m by 0.5 m.
0.6 m
0.5 m
Diagram NOT accurately drawn
Work out the pressure the crate exerts on the ground, in N/m².
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Level 4
3 marks
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A force of
F
F
F
newtons acting on an area of 0.4 m² produces a pressure of 250 N/m².
(a)
Work out the value of
F
F
F
.
(b)
The same force now acts on an area of 0.2 m². Write down the new pressure, in N/m².
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Level 4
3 marks
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A force of
60
60
60
N acts on an area of
400
400
400
cm².
Work out the pressure in N/m².
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Level 4
3 marks
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Two crates stand on horizontal ground.
Crate
A
A
A
weighs
300
300
300
N and its base measures
0.5
0.5
0.5
m by
0.4
0.4
0.4
m.
Crate
B
B
B
weighs
360
360
360
N and its base measures
0.6
0.6
0.6
m by
0.5
0.5
0.5
m.
Which crate exerts the greater pressure on the ground? You must show your working.
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Level 4
3 marks
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Converting compound units and rates of flow
19 questions
Lesson
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The density of a liquid is 1.05 g/cm³. Convert this density into kg/m³.
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Level 4
3 marks
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A car travels at 90 km/h. A cheetah runs at 27 m/s.
Which is faster, and by how many m/s? You must show your working.
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Level 4
3 marks
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Water flows through a pipe at a constant rate of 0.3 litres per second, into an empty tank with a capacity of 0.72 m³.
Given that 1 m³ = 1000 litres, work out how many minutes it takes to fill the tank.
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Level 4
4 marks
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A car uses petrol at a rate of
6.2
6.2
6.2
litres per
100
100
100
km.
Petrol costs £
1.45
1.45
1.45
per litre.
(a)
Work out how many litres of petrol the car uses on a journey of
350
350
350
km.
(b)
Work out the cost of the petrol for the journey.
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Level 4
4 marks
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A closed cylindrical water tank has radius
1.2
1.2
1.2
m and height
2.5
2.5
2.5
m.
The whole outside surface of the tank, including the top and bottom, is to be painted.
One litre of paint covers
12
12
12
m
2
^2
2
. Paint is sold in
1
1
1
-litre tins costing £
8.50
8.50
8.50
each.
Work out the cost of the paint. You must show your working. [5]
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Level 4
5 marks
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