## 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.

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.

(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 Marilouâ€™s speed-time graph from the start of the race.

(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.

- It begins with constant acceleration for five seconds reaching a velocity of 6 m/s.
- It then slows down with constant deceleration of 1 m/s
^{2}for three seconds. - It then slows down slightly more quickly coming to a complete rest after a further two seconds of constant deceleration.

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

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

## 5. | GCSE Higher |

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

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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