## Exam-Style Questions.## Problems adapted from questions set for previous Mathematics exams. |

## 1. | GCSE Higher |

There is a total of 60 students in the school orchestra.

The mean age of the 24 boys is 15.5 years.

The mean age of the 36 girls is 16.4 years.

Calculate the mean age of all 60 students.

## 2. | GCSE Higher |

The following table shows the time taken by fifty people to answer their emails one day.

Time, t minutes | Number of people |

0 < t ≤ 10 | 5 |

10 < t ≤ 20 | 12 |

20 < t ≤ 30 | 13 |

30 < t ≤ 40 | 15 |

40 < t ≤ 50 | 5 |

(a) In which class interval is the median?

(b) How many people took more than 20 minutes?

(c) What is the modal class interval?

(d) Find an estimate for the mean time taken showing all of your working.

## 3. | GCSE Higher |

A basket contains apples and oranges. The mean weight of the 9 apples in the basket is 265g. The mean weight of all 21 items of fruit in the basket is 290g.

Work out the mean weight of the oranges.

## 4. | GCSE Higher |

The following table show data collected by a researcher about the length of monitor lizards living in a park in Bangkok.

Length (cm) | Frequency |
---|---|

\(0\lt l \le 50\) | 9 |

\(50\lt l \le 100\) | 13 |

\(100\lt l \le 150\) | 22 |

\(150\lt l \le 200\) | 19 |

\(200\lt l \le 250\) | 11 |

\(250\lt l \le 300\) | 3 |

(a) Which is the modal group?

(b) Calculate an estimate for the mean lizard length.

(c) The researcher claims that the range of lengths must lie between 2m and 3m. Explain how the researcher came to this conclusion.

If you would like space on the right of the question to write out the solution try this Thinning Feature. It will collapse the text into the left half of your screen but large diagrams will remain unchanged.

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.

The solutions to the questions on this website are only available to those who have a Transum Subscription.

Exam-Style Questions Main Page

To search the **entire Transum website** use the search box in the grey area below.

Do you have any comments about these exam-style questions? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.

Pauline Johnson,

Monday, October 4, 2021

"I have a Foundation GCSE class so am unable to show them these higher tier questions. Any chance you could show both types of questions please?

[Transum: Thanks for your feedback Pauline. Currently you can find all the Foundation questions in the Weekly Workouts but in the future they will appear here too.]"