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Exam-Style Questions.

Problems adapted from questions set for previous Mathematics exams.

1.

GCSE Higher

Lyana has drawn a time series graph to show the number of minutes she spent doing homework on some of the days in June 2021.

Time Series Graph

Write down two things that are wrong or could be misleading with this graph.


2.

GCSE Higher

The following diagram shows a distance-time graph of the movement of a fish.

Distance Time Graph

(a) Work out the average speed between 10 and 20 seconds.

(b) Estimate the speed of the fish at 25 seconds.


3.

GCSE Higher

Marilou and Sam had a skiing race. Here is Marilou’s speed-time graph from the start of the race.

Travel Graph

(a) Marilou crossed the finishing line after a time of 40 seconds. How long was the race?

(b) Sam finished after a time of 50 seconds. What was his average speed, in kilometres per hour, for the race?


4.

GCSE Higher

A model train is placed on a length of straight track.

(a) Draw a velocity-time graph for the train on graph paper provided below.

Velocity Time Graph

(b) Work out the total distance travelled by the model train.


5.

GCSE Higher

Here is a speed-time graph for a go kart.

Speed Time Graph

Work out an estimate for the distance the kart travelled in the first 12 seconds by using six strips of equal width.


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The exam-style questions appearing on this site are based on those set in previous examinations (or sample assessment papers for future examinations) by the major examination boards. The wording, diagrams and figures used in these questions have been changed from the originals so that students can have fresh, relevant problem solving practice even if they have previously worked through the related exam paper.

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