# Tag Archives: FP1

# FP1 past papers

# How to check your answers in FP1

**Correct bit-by-bit**

Write neatly, give yourself plenty of space, always write each line *below* the previous line (leaving lots of blank space on the right of the page if necessary), and do big, clear diagrams with a ruler.

Try not to have your working run over from one page to the next. If a question is going to need long working, then start a new page with it. Be concise in your working (this isn’t GCSE: you don’t have to show every tiny step).

Then, if an answer looks wrong, or your working shows something different from the formula you are asked to prove, donâ€™t cross out everything and start again. Continue reading

# FP1 June 2013 “withdrawn” paper and worked answers

This paper was used for a mock exam in April 2015.

# FP1 test paper, mark scheme, and worked answers for 21 November 2014

# How to solve cubic equations

In FP1 we study how to get two more roots of a cubic equation if we are given one in advance. But life is not always so generous. How do we solve a cubic if we’re given no root in advance? Continue reading

# “Don’t do it as the book says” notes, FP1

**Proof by induction**

Set out proofs as Step 1 (prove claim true for n=1) and Step 2 (prove claim infectious, i.e. if it’s true for n=k, then it’s true for n=k+1), plus a final line: “Step 1 + Step 2 ⇒ true for all n, by induction”. Continue reading