Syllabus Edition

First teaching 2021

Last exams 2024

|

Real-Life Graphs (CIE IGCSE Maths: Extended)

Exam Questions

1 hour21 questions
1
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1 mark

cie-igcse-2020-oct-nov-p2-tz1-q15

The diagram shows the speed–time graph for 100 seconds of the journey of a car and of a motorbike. 

Find the deceleration of the car between 60 and 100 seconds.


 .........................................space straight m divided by straight s squared 

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2
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1 mark

cie-igcse-2020-oct-nov-p2-tz2-q17

The diagram shows the speed–time graph for the first 40 seconds of a cycle ride. 

Find the acceleration between 20 and 40 seconds.

......................................... m/s2

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3a
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1 mark

cie-igcse-2019-oct-nov-p2-tz3-q19

The diagram shows the speed–time graph for 70 seconds of a car journey.

Calculate the deceleration of the car during the first 20 seconds.

............................................ m/s2

3b
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3 marks

Calculate the total distance travelled by the car during the 70 seconds.

................................................ m

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4a
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1 mark

cie-igcse-2019-may-june-1-q24

The diagram shows information about the final 70 seconds of a car journey.

Find the deceleration of the car between 60 and 70 seconds.
 

.....................................m/s2 

4b
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3 marks

Find the distance travelled by the car during the 70 seconds.
 

.........................................m

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5
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3 marks

WHIl9JsU_cie-igcse-2018-oct-nov-p2-tz1-q21

 
When Heidi was born, her grandfather invested some money in an account that paid compound interest.
The graph shows the exponential growth of this investment.

i)
Use the graph to find the original amount of money invested,
 
 

$ ................................................ [1]

ii)
Use the graph to find the number of years it took for the original amount to double,
 
 

....................................... years [1]

iii)
Use the graph to find the value of the investment after 54 years.
 
 

$ ................................................ [1]

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6a
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1 mark

cie-igcse-2018-oct-nov-p2-tz3-q21


The diagram shows the speed−time graph for the first T seconds of a car journey.

Find the acceleration during the first 10 seconds.
 

 ........................................ m/s2 

6b
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3 marks

The total distance travelled during the T seconds is 480 m.
 
Find the value of T.
 

T = ................................................

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7a
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3 marks

cie-igcse-2018-may-jun-1-p2-q17
The speed-time graph shows information about the journey of a tram between two stations.

Calculate the distance between the two stations.

.........................................m

7b
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1 mark

Calculate the average speed of the tram for the whole journey.

...................................... m/s

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1
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3 marks

cie-igcse-2020-oct-nov-p2-tz1-q15

The diagram shows the speed–time graph for 100 seconds of the journey of a car and of a motorbike. 

Calculate how much further the car travelled than the motorbike during the 100 seconds.


 ............................................. m

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2
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3 marks

cie-igcse-2020-oct-nov-p2-tz2-q17

The diagram shows the speed–time graph for the first 40 seconds of a cycle ride. 

Find the total distance travelled.

 .............................................. m

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3
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1 mark

cie-igcse-2020-oct-nov-p2-tz3-q19

The diagram shows the speed–time graph for the final 40 seconds of a car journey.
At the start of the 40 seconds the speed is v m/s.

Find the acceleration of the car during the first 24 seconds.
 

 ......................................... m/s2

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4
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3 marks

cie-igcse-2020-may-june-p2-tz1-q11

The diagram shows the speed–time graph for 90 seconds of a journey.

Calculate the total distance travelled during the 90 seconds.


............................................. m

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5a
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1 mark

The diagram shows the speed–time graph of a train journey between two stations.

cie-igcse-2020-mary-jun-p2-tz3-q14

Find the acceleration of the train during the first 40 seconds.
 

................................................ m/s2

5b
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3 marks

Calculate the distance between the two stations.
 

................................................ m

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6a
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1 mark

cie-igcse-2019-march-p2-q22

The speed–time graph shows the first 50 seconds of a journey.

Calculate the acceleration during the first 15 seconds.
 

.............................................m/s2

6b
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3 marks

Calculate the distance travelled in the 50 seconds.
 

.................................................m

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7a
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1 mark

The diagram shows the speed−time graph for part of a journey for two people, a runner and a walker.

cie-igcse-2018-oct-nov-p4-tz2-q6

Calculate the acceleration of the runner for the first 3 seconds. 
 

........................................ m/s2 

7b
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3 marks

Calculate the total distance travelled by the runner in the 19 seconds.
 

............................................ m

7c
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3 marks

The runner and the walker are travelling in the same direction along the same path.
When t = 0, the runner is 10 metres behind the walker.
 

Find how far the runner is ahead of the walker when t = 19.
 

............................................ m

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8
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3 marks

The diagram shows information about the first 8 seconds of a car journey.
cie-igcse-2018-may-jun-2-p2-q17
The car travels with constant acceleration reaching a speed of v m/s after 6 seconds.
The car then travels at a constant speed of v m/s for a further 2 seconds.
The car travels a total distance of 150 metres.

Work out the value of v.

v equals..............................................

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9a
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2 marks

cie-igcse-2018-may-jun-3-p2-q24

The diagram shows the speed–time graph for 60 seconds of a car journey.

Change 90 km/h to m/s.

.......................................... m/s 

9b
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1 mark

Find the deceleration of the car in m/s2.

.........................................m/s2

9c
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2 marks

Find the distance travelled, in metres, in the 60 seconds.

.............................................m

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1
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5 marks

cie-igcse-2019-oct-nov-p2-tz1-q26

A car travels at 20 m/s for 15 seconds before it comes to rest by decelerating at 2.5 m/s2.

Find the total distance travelled.

................................................ m

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2
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4 marks

cie-igcse-2020-oct-nov-p2-tz3-q19

The diagram shows the speed–time graph for the final 40 seconds of a car journey.
At the start of the 40 seconds the speed is v m/s.

The total distance travelled during the 40 seconds is 1.24 kilometres.

Find the value of v.
 

v equals................................................ 

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3a
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3 marks

cie-igcse-2019-oct-nov-p2-tz2-q23

The speed–time graph shows information about a train journey.

By drawing a suitable tangent to the graph, estimate the gradient of the curve at t equals 24.

3b
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1 mark

What does this gradient represent?

3c
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2 marks

Work out the distance travelled by the train when it is travelling at constant speed.

.............................................. km

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4a
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3 marks

Here is a speed-time graph for a car journey.
The journey took 100 seconds.
q4a-2-17-very-hard-cie-igcse-maths-extended
The car travelled 1.75km in the 100 seconds.

Work out the value of V.

4b
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2 marks

Describe the acceleration of the car for each part of this journey

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5a
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1 mark

Jalina left her home at 10 00 to cycle to a park.
On her way to the park, she stopped at a friend’s house and then continued her journey to the park.
Here is the distance-time graph for her journey to the park.

q2-paper1h-june2019-edexcel-igcse-maths

On her journey to the park, did Jalina cycle at a faster speed before or after she stopped at her friend’s house?
Give a reason for your answer.

5b
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2 marks

Jalina stayed at the park for 45 minutes.
She then cycled, without stopping, at a constant speed of 16 km/h from the park back to her home.

Show all this information on the distance-time graph.

5c
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3 marks

Work out Jalina’s average cycling speed, in kilometres per hour, for the complete journey to the park and back.
Do not include the times when she was not cycling in your calculation.
Give your answer correct to 1 decimal place.

.........................km/h

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