Transum Software

Exam-Style Question on Ratio and Percentage Change

A mathematics exam-style question with a worked solution that can be revealed gradually

List Of Questions Exam-Style Question More Ratio Questions More on this Topic

Question id: 717. This question is similar to one that appeared on a GCSE Higher paper in 2022. The use of a calculator is allowed.

(a) Audrey, Seymore and Mr Mushnic share potted plants in the ratio Audrey : Seymore : Mr Mushnic = 3 : 4 : 7. Seymore receives 12 plants. Calculate the total number of plants shared.

Plant Shop

(b) In a sale, a plant shop reduces all prices by 15%.

(i) Crystal buys a cactus which has an original price of £8.60. Calculate how much Crystal pays for the cactus.

(ii) Ronette pays £39 for a hanging basket. Calculate the original price of the hanging basket.

(c) Orin invests some money. The rate of interest for the first year is 3.5%. At the end of the second year the overall percentage increase of Orin’s investment is 6.6%. Find the rate of interest for the second year to the nearest whole number.

(d) A radioactive substance decays at an exponential rate of 4% per day. The initial mass is 360g.

(i) Find the mass at the end of 9 days.

(ii) Find how many more whole days, after day 9, it takes for the mass to reduce to less than 200g.

The worked solutions to these exam-style questions are only available to those who have a Transum Subscription.

Subscribers can drag down the panel to reveal the solution line by line. This is a very helpful strategy for the student who does not know how to do the question but given a clue, a peep at the beginnings of a method, they may be able to make progress themselves.

This could be a great resource for a teacher using a projector or for a parent helping their child work through the solution to this question. The worked solutions also contain screen shots (where needed) of the step by step calculator procedures.

A subscription also opens up the answers to all of the other online exercises, puzzles and lesson starters on Transum Mathematics and provides an ad-free browsing experience.



Drag this panel down to reveal the solution

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


Search for exam-style questions containing a particular word or phrase:

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.


©1997-2024 WWW.TRANSUM.ORG

©1997 - 2024 Transum Mathematics :: For more exam-style questions and worked solutions go to