Pallo Logo

Practice with real exam questions

Access thousands of exam-style questions from major exam boards. Get instant marking with detailed feedback on how to improve.

pallo.ai/mathematics
Question 7
2024
P2
6 marks
a)

Find the range of values of xx that satisfy the inequality 5x3<2x(5x)5x - 3 < 2x(5 - x).

3 marks
b)

The diagram shows a horizontal bridge of 100 metres supported by 2 pillars at the side, with a cable being suspended from point A and B. Each pillar is vertical and is 40 metres tall. The lowest point C of the cable is 10 meters above the bridge. The origin, O, is vertically below point A, where the foot of the pillar meets the bridge. A quadratic function can be used to model the cable. Find the quadratic equation.

3 marks
Bridge and cable diagram

Exam-ready preparation

The most realistic exam practice available, with feedback that helps you improve.

Real Questions

Questions inspired from actual exam board papers, vetted by expert teachers.

Instant Marking

Get your answers marked immediately with detailed feedback from your tutor.

Accurate Mark Scheme

Understand exactly what examiners are looking for.

Exam board questions

Full-length questions from every paper type

Practice with questions from paper 1, 2 and 3. Filter by topic, exam board and difficulty.

Multiple choice questions

Practice with multiple choice questions

Structured questions

Practice with structured questions

Essay questions

Upload full essays and have it graded on rubrics

AI marking feedback

Feedback that actually helps

Our tutors don't just mark your answer - it explains where you went wrong, what you missed, and how to get full marks next time.

Mark scheme breakdown

See exactly which marking points you hit or missed

Model answers

Compare your answer to a full-marks example

Improvement tips

Specific advice on how to improve your technique

Ready to jump a few grades?

Join thousands of students who've already seen improvements in their learning with Pallo.