# Eye on Education: King James’s School, Almondbury

It organises national mathematics competitions and other mathematical enrichment activities for 11 to 18-year-old UK school pupils.

Last academic year more than 600,000 pupils from 4,000 schools took part in the three individual challenges, the UK’s biggest national maths competitions.

Each challenge leads into a follow-on Olympiad round and the Trust runs mentoring schemes and summer schools for high performing students as well as training the team of six to represent the UK in the International Mathematical Olympiad.

Think maths is easy? Why not have a go at some of the questions yourself?

1. Harrogate is 23km due north of Leeds, York is 30km due east of Harrogate, Doncaster is 48km due south of York, and Manchester is 70km due west of Doncaster. To the nearest kilometre, how far is it from Leeds to Manchester, as the crow flies?

A 38km B 47km C 56km D 65km E 74km.

2. Max and his dog Molly set out for a walk. Max walked up the road and then back down again, completing a six mile round trip. Molly, being an old dog, walked at half Max’s speed. When Max reached the end of the road, he turned around and walked back to the starting point, at his original speed. Part way back he met Molly, who then turned around and followed Max home, still maintaining her original speed. How far did Molly walk?

A 1 mile B 2 miles C 3 miles D 4 miles E 5 miles.

3. What is the value of 4.5 × 5.5 + 4.5 × 4.5?

A 36.5 B 45 C 50 D 90 E 100.

4. A shop advertised “Everything half price in our sale”, but also now advertises that there is “An additional 15% off sale prices”. Overall, this is equivalent to what reduction on the original prices?

A 7.5% B 35% C 57.5% D 65% E 80%.

ANSWERS: 1 B 47km; 2 D four miles; 3 B 45; 4 C 57.5%