O LevelMathsCambridgeExam QuestionsCoordinate Geometry & GraphsReal-Life Graphs

Real-Life Graphs (Cambridge O Level Maths)

Exam Questions

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Real-Life Graphs

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Real-Life Graphs

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1
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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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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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3
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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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4a
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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 

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4b
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The total distance travelled during the T seconds is 480 m.
 
Find the value of T.
 

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

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1
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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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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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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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4
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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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1
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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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2a
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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.

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2b
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Describe the acceleration of the car for each part of this journey

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3
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A horse runs in a field.

The speed-time graph represents the first 12 seconds of the run.

q28-paper-2h-nov-2020-aqa-gcse-maths

After how many seconds had the horse run a distance of 75 metres?

.........................seconds

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4a
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The diagram is the speed–time graph of part of a train's journey.

q26-june-2018-4024-1-cambridge-o-level-maths-d

The train slows down uniformly from a speed of space 50 spacem/s to a speed of space 10 spacem/s in a time of space 20 spaceseconds.

During the next space 30 spaceseconds, it accelerates uniformly to a speed of space u spacem/s.

Calculate the deceleration from t space equals space 0 to t space equals space 20.

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

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4b
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Calculate the speed of the train when t space equals space 15.

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

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4c
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Calculate the distance travelled by the train from t space equals space 0 to t space equals space 20.

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

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4d
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The size of the acceleration is half the size of the deceleration.
Find the value of u.

u space equals space............................

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