BRAINTEASERS

Can you bend your brain around this set of mathematical, lexical and logistical teasers?

1 ‘I’m where Tom started. Jess did you go south?’ asked Sue. ‘No, and I’m not by the river or the road’, replied Jess. ‘The river is the sole westernmost feature and you can’t go north to reach the lea’, added Tom. ‘I began by the cowpat and went west or north. Who went east?’ asked Lia. If each went a different direction, where did they end?

2 Which two words meaning ‘butt’ and ‘oozed’ combine into one meaning ‘unshaven’? 3 Find the shapes in these anagrams: a) Mature Zip, b) Crime Slice, c) Agent Hop.

4 Jerry is running himself a bath. Initially he filled it with only hot water. For every 500ml of cold that he adds, the temperature is reduced by 0.5 ºC.

When the ratio of the hot to cold water is 8:2, the bath is exactly the right temperature of 38 ºC. If the total amount of water in the end is 80 litres, what was the temperature before any cold was added?