igureMaths
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51 questions at your level
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Level 5
Speed, distance and time
15 questions
Lesson
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A car travels 150 km in 2 hours 30 minutes. Work out its average speed in km/h.
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Level 3
3 marks
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A cyclist rides at an average speed of 24 km/h for 1 hour 45 minutes. Work out how far the cyclist rides.
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Level 3
3 marks
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A coach travels
87
87
87
km at an average speed of
60
60
60
km/h.
Work out how long the journey takes. Give your answer in hours and minutes.
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Level 3
3 marks
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The velocity–time graph shows the first
40
40
40
seconds of a train's journey.
10
20
30
40
2
4
6
8
10
12
14
Time (s)
Velocity (m/s)
(a)
Work out the acceleration of the train in the first
10
10
10
seconds. [2]
(b)
Work out the total distance travelled in the
40
40
40
seconds. [3]
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Level 3
5 marks
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Density and pressure
19 questions
Lesson
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The density of aluminium is 2.7 g/cm³. A solid aluminium block has volume 250 cm³. Work out the mass of the block, in grams.
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Level 3
2 marks
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Gold has a density of 19.3 g/cm³. A gold bar has mass 579 g. Work out the volume of the bar, in cm³.
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Level 3
2 marks
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A solid metal cuboid measures
8
8
8
cm by
5
5
5
cm by
4
4
4
cm. Its mass is
1.28
1.28
1.28
kg.
(a)
Work out the volume of the cuboid.
(b)
Work out the density of the metal in g/cm³.
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Level 3
3 marks
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A box exerts a force of
600
600
600
N on the ground. The area of the base of the box is
0.4
0.4
0.4
m
2
^2
2
.
(a)
Work out the pressure exerted, in N/m
2
^2
2
. [2]
(b)
Convert your answer to N/cm
2
^2
2
. [2]
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Level 3
4 marks
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The diagram shows a solid prism on a horizontal floor.
25 cm
pressure
=
force
area
\text{pressure} = \frac{\text{force}}{\text{area}}
pressure
=
area
force
The prism has
a volume of
4500
4500
4500
cm³
a height of
25
25
25
cm.
The force of the prism on the floor is
540
540
540
newtons.
Work out the pressure the prism exerts on the floor.
Give your answer in newtons/cm².
(3 marks)
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Level 3
3 marks
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Nadia has two identical jars.
She puts
720
720
720
grams of lentils into one of the jars.
The lentils fill the jar completely.
The density of the lentils is
0.8
0.8
0.8
g/cm³
Nadia puts
720
720
720
grams of sugar into the other jar.
This time the jar is not full. There is
300
300
300
cm³ of empty space left in the jar.
Work out the density of the sugar.
You must show all your working.
(4 marks)
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Level 3
4 marks
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Paving slabs are made from concrete with density
2.4
2.4
2.4
g/cm³
Each paving slab has a volume of
12
500
12\,500
12
500
cm³
The maximum mass of paving slabs that a van can carry is
850
850
850
kg.
Work out the greatest number of paving slabs that the van can carry.
(3 marks)
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Level 3
3 marks
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Converting compound units and rates of flow
19 questions
Lesson
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Convert 54 km/h into m/s.
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Level 3
3 marks
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Convert 8 m/s into km/h.
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Level 3
2 marks
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The speed limit on a UK motorway is
65
65
65
mph on a stretch with roadworks.
Using
5
5
5
miles
=
8
= 8
=
8
km, convert
65
65
65
mph into km/h.
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Level 3
2 marks
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Concrete has a density of
2400
2400
2400
kg/m³.
Convert this density into g/cm³.
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Level 3
2 marks
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A box exerts a force of
600
600
600
N on the ground. The area of the base of the box is
0.4
0.4
0.4
m
2
^2
2
.
(a)
Work out the pressure exerted, in N/m
2
^2
2
. [2]
(b)
Convert your answer to N/cm
2
^2
2
. [2]
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Level 3
4 marks
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A water butt is in the shape of a cylinder.
35 cm
90 cm
The water butt has radius
35
35
35
cm.
The water butt has height
90
90
90
cm.
The water butt is empty.
Water from a hose then flows into the water butt at a rate of
40
40
40
cm³ per second.
Work out how many minutes it takes to fill the water butt completely.
Give your answer correct to the nearest minute.
You must show all your working.
(4 marks)
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Level 3
4 marks
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Water is pumped out of a flooded quarry at a constant rate of
0.35
0.35
0.35
m³/s
How many days does it take to pump
1
250
000
1\,250\,000
1
250
000
m³ of water out of the quarry?
Give your answer correct to the nearest day.
(3 marks)
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Level 3
3 marks
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In Edinburgh,
2.5
2.5
2.5
kg of potatoes cost £1.95
In Toronto,
4
4
4
lbs of potatoes cost
2.55
2.55
2.55
Canadian dollars.
£1
=
1.85
= 1.85
=
1.85
Canadian dollars
1
1
1
kg
=
2.2
= 2.2
=
2.2
lbs
In which city are potatoes better value for money, Edinburgh or Toronto?
You must show how you get your answer.
(4 marks)
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Level 3
4 marks
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