# Monthly Archives: September 2015

# Maths prize for 29 September 2015: profit and loss

This was the first-ever maths prize to have no entries, other than 23 June 2015 when students were worn out after exams. Some fortnights previously, no-one got a prize because no-one wrote down their solution, or half-solution, but this is the first time no student has had any solution at all. Continue reading

# Contents page for FP2 transforming loci in the complex plane

# Maths prize for 15 September 2015: a Conway puzzle

The problem: Assemble six 2×2×1 blocks and three 1×1×1 blocks into a 3×3×3 cube. Continue reading

# Algebraic fractions: adding and dividing

**Starter:** calculate some additions of ordinary numerical fractions, and then of algebraic fractions. Continue reading

# Algebraic fractions: simplifying

**Starter:**

Simplify

(√2 + 3)/(2√2 + 6)

(½√3 + 1)/(⅓√3 + ^{2}⁄_{3})

(√2 + 2)/(3√2 + 8)

Continue reading