Area under a graph 1
H
*
1
Here is a rectangle.
4
6 cm
Calculate the shaded area.
2 cm
5 cm
3 cm
3 cm
Calculate the area.
5 cm
Answer
2
2 cm
cm2
cm2
Answer
Calculate the shaded area.
6 cm
5
Calculate the shaded area.
2 cm
5 cm
3 cm
4 cm
Answer
3
cm2
5 cm
Calculate the shaded area
1 cm
5 cm
2 cm
cm2
Answer
6
3 cm
5 cm
Write a formula for the area
of this trapezium.
a
b
h
1 cm
b
Answer
Mind The Gap Toolbox
cm2
c
Answer
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1
Area under a graph 2
H
*
The area under a speed-time graph gives the distance travelled.
1
Here is the speed-time graph for a car.
3
60
60
50
50
Speed 40
(km/h)
30
Speed 40
(km/h)
30
20
20
10
10
O
O
1 2 3 4 5
Time (hours)
Calculate the distance travelled
during 5 hours.
Answer
2
Here is the speed-time graph for a car.
1 2 3 4 5
Time (hours)
Calculate the distance travelled
during 5 hours.
Answer
km
Here is the speed-time graph for a car.
4
Here is the speed-time graph for a car.
60
60
50
50
Speed 40
(km/h)
30
Speed 40
(km/h)
30
20
20
10
10
O
O
1 2 3 4 5
Time (hours)
Calculate the distance travelled
during 5 hours.
Answer
Mind The Gap Toolbox
km
1 2 3 4 5
Time (hours)
Calculate the distance travelled
during 5 hours.
km
© Toticity Limited
Answer
km
2
Area under a graph 3
H
*
The area under a speed-time graph gives the distance travelled.
1
Here is the speed-time graph for a car.
3
60
60
50
50
Speed 40
(km/h)
30
Speed 40
(km/h)
30
20
20
10
10
O
O
1 2 3 4 5
Time (hours)
Calculate the distance travelled
during 5 hours.
Answer
2
Here is the speed-time graph for a car.
1 2 3 4
Time (hours)
Calculate the distance travelled
during 4 hours.
Answer
km
Here is the speed-time graph for a car.
4
Here is the speed-time graph for a car.
60
60
50
50
Speed 40
(km/h)
30
Speed 40
(km/h)
30
20
20
10
10
O
O
1 2 3 4 5
Time (hours)
Calculate the distance travelled
during 5 hours.
Answer
Mind The Gap Toolbox
km
1 2 3 4
Time (hours)
Calculate the distance travelled
during 5 hours.
km
© Toticity Limited
Answer
km
3
Area under a graph 4
H
*
The area under a speed-time graph gives the distance travelled.
1
Here is the speed-time graph for a car.
3
60
60
50
50
Speed 40
(km/h)
30
Speed 40
(km/h)
30
20
20
10
10
O
O
1 2 3 4 5
Time (hours)
Calculate the distance travelled
during 5 hours.
Answer
2
Here is the speed-time graph for a car.
1 2 3 4
Time (hours)
Calculate the distance travelled
during 4 hours.
Answer
km
Here is the speed-time graph for a car.
4
Here is the speed-time graph for a car.
60
60
50
50
Speed 40
(km/h)
30
Speed 40
(km/h)
30
20
20
10
10
O
O
1 2 3 4 5
Time (hours)
Calculate the distance travelled
during 5 hours.
Answer
Mind The Gap Toolbox
km
1 2 3 4
Time (hours)
Calculate the distance travelled
during 5 hours.
km
© Toticity Limited
Answer
km
4
Area under a graph 5
H
*
1 The flow-rate of a river past a point is
measured. The graph shows the results.
3 The flow-rate of a river past a point is
measured. The graph shows the results.
3.0
3.0
2.5
2.5
Flow rate 2.0
(m 3 /s)
1.5
Flow rate 2.0
(m 3 /s)
1.5
1.0
1.0
0.5
0.5
O
1
2 3 4
Seconds
O
5
1
2 3 4
Seconds
Calculate the volume of water
passing the point in these 5 seconds.
Calculate the volume of water
passing the point in these 4 seconds.
Answer
Answer
m3
2 The flow-rate of a river past a point is
measured. The graph shows the results.
4 The flow-rate of a river past a point is
measured. The graph shows the results.
3.0
3.0
2.5
2.5
Flow rate 2.0
(m 3 /s)
1.5
Flow rate 2.0
(m 3 /s)
1.5
1.0
1.0
0.5
0.5
O
1
2 3 4 5
Seconds
Calculate the volume of water
passing the point in these 5 seconds.
Answer
Mind The Gap Toolbox
m3
O
2 3 4
Seconds
Calculate the volume of water
passing the point in these 4 seconds.
m3
© Toticity Limited
1
Answer
m3
5
Area under a graph: Test
H
*
1
Here is the speed-time graph for a car.
80
70
60
50
Speed 40
(km/h)
30
20
10
O
Calculate the distance travelled
during 5 hours.
2
1 2 3 4 5
Time (hours)
Answer
km
Answer
km
Here is the speed-time graph for a car.
50
Speed 40
(km/h)
30
20
10
O
1 2 3 4 5
Time (hours)
Calculate the distance travelled
during 5 hours.
Mind The Gap Toolbox
© Toticity Limited
6
Area under a graph : Answers
H
*
Area under a graph 1
1
18 cm2
2
9 cm2
3
9 cm2
4
10.5 cm2
5
14 cm2
6
(a + b)
×h
2
Area under a graph 2
1
5 × 50 = 250 km
2
5 × 40 = 200 km
3
(5 × 50) ÷ 2 = 125 km
4
(5 × 40) ÷ 2 = 100 km
2
60 + 10
× 4 = 140 km
2
10 + 40
× 1 = 25 km
2
140 + 25 = 165 km
3
60 + 40
× 2 = 100 km
2
40 + 50
× 2 = 90 km
2
100 + 90 = 190 km
4
60 + 30
× 2 = 90 km
2
30 + 60
× 2 = 90 km
2
90 + 90 = 180 km
Area under a graph 5
1
2 × 2.5
= 2.5 m 3
2
2.5 + 3
× 3 = 8.25 m 3
2
8.25 + 2.5 = 10.75 m 3
2
2 × 2.5
× 2 = 5 m3
2
2.5 + 3
× 3 = 8.25 m 3
2
5 + 8.25 = 13.25 m 3
3
2.5 × 2
= 2.5 m 3
2
2.5 + 3
× 2 = 5.5 m 3
2
2.5 + 5.5 = 8 m 3
Area under a graph 3
1
40 + 60
× 5 = 250 km
2
2
20 + 60
× 5 = 200 km
2
3
60 + 40
× 4 = 200 km
2
4
20 + 60
× 4 = 160 km
2
Area under a graph 4
1
2 × 50 = 100 km
50 + 10
× 3 = 90 km
2
100 + 90 = 190 km
Mind The Gap Toolbox
4
3 + 2.5
× 2 = 5.5 m 3
2
2.5 × 2
= 2.5 m 3
2
5.5 + 2.5 = 8 m 3
© Toticity Limited
7
Area under a graph : Answers
H
*
Area under a graph : Test
1
(5 × 80) ÷ 2 = 200 km
2
2 × 30
= 30km
2
30 + 50
× 3 = 120 km
2
30 + 120 = 150 km
Mind The Gap Toolbox
© Toticity Limited
8