# Temporary maths page

Welcome to the Temporary Maths Page.

The aim of this page is to compile a selection of revision questions and their worked solutions. Questions will eventually be categorised by module and topic across several pages, but this is the place where they all begin.

If you would like to contribute, that would be much appreciated.

1. Write your question as a bullet point under the appropriate section below. Try to present it clearly, using TeX if necessary.
2. All questions are linked to their solutions by a unique ID (for example M0123). Write your full worked solution at the bottom of the answers page, using the next available ID as a section heading. Important: Even if you would like to leave the solution for someone else to complete, you must create a blank entry on the solutions page.
3. If you took the question from a thread in the TSR Forum, include a link in your solution.

## KS3 Questions

(None submitted.)

## A Level Questions

Different exam boards have different syllabi. If any questions come under different modules for different exam boards, please make a note by the question. Please do not mark categorisation for the IB or any other exam system; this will be implemented later.

### Further Pure 2

• Show that S(rt3,0) is a focus of the ellipse with the equations  The origin is O and P is any point on the ellipse. A line is drawn from O perpendicular to the tangent to the ellipse at P and this line meets the line SP, produced if necessary, in the point Q. Show that the locus of Q is a circle.Solution (M0010)

### Core 3

• H is a function such that . What is  80 times? And 81 times? Solution (M0006)

NB This question is possible to do with C3 maths knowledge but is not in the style of any of the current exam boards.

### Mechanics 1

• A particle P moves in a straight line with acceleration (6t-10) ms-2. Initially P is at O, a fixed point on the line, and has velocity 3ms-1. Show that, during the first 2 seconds, P travels a distance of  m. Solution (M0007)

### Unclassified

If you know which modules these questions belong to, please put them under appropriate headings.