# Exam Style Question

## Worked solutions to typical exam type questions that you can reveal gradually

##### List Of QuestionsExam Style QuestionMore Algebra QuestionsMore on this Topic

Question id: 129. This question is similar to one that appeared in a GCSE Higher paper (specimen) for 2017. The use of a calculator is allowed.

### Algebra

Rätselzeit school has an annual sports day in which the mathematics teachers are in charge of the scoring system.

The points scored for throwing the discus are worked out using the formula:

$$p = 15(d – 4.2)$$

where $$p$$ is the number of points scored when the discus is thrown a distance of $$d$$ metres.

(a) How many points does Homer score for throwing the discus a distance of 52 metres?

(b) How far did Marge throw the discus if she scored 492 points?

The points scored for running 400 metres are worked out using the formula:

$$p = 6(95 – t)^2$$

where $$p$$ is the number of points scored when the time taken is $$t$$ seconds.

(c) Lisa scores 1014 points for the 400 metres race. Work out the time, in seconds, it took Lisa.

The formula for the number of points scored in the 400 metres race should not be used for $$t\gt n$$.

(d) State the value of $$n$$ giving a reason for your answer.

 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.