During Maths Week Scotland, we let you know about a national photographic maths competition, ‘Oot an’ Aboot’, organised by the University of Glasgow. One of our pupils took part in the competition and was a runner-up and had another entry highly commended – well done to Lillyanna for her excellent mathematical thinking and questioning. She received an Amazon voucher and certificates during an online award ceremony last week.
This stepped pyramid has been built by young children and their teacher using some of the building blocks in the classroom. (The blocks are all cubes of the same size.)
(a) How many blocks would be needed to build it?
(b) Now imagine that the children want to build a similar structure with twice as many layers. How many blocks would be needed?
Feeding the Horses
During a very hard winter, Beth had only enough hay and corn to feed her six horses for another 30 days, and it would be another 75 days before spring would arrive. On the seventh day, before feeding time, she sold four of her horses.
Was she able to feed her remaining two horses for the rest of the winter?
Explain your reasoning.
Asif is shopping for a new outfit for a special occasion. He needs a shirt, a pair of trousers and a pair of shoes. Once he has picked out the items he likes and checked the prices he realises that:
- if he doesn’t buy the shirt, he can get the other items for £115
- if he doesn’t buy the trousers, he can get the other items for £100
- if he doesn’t buy the shoes, he can get the other items for £75.
But, of course, he needs the shirt, the trousers and the shoes. So what will he have to pay for all of them?
It’s Maths Week Scotland 2018 and I’m delighted to launch the first of seven daily puzzles that I’ll be sharing this week. Here’s the first challenge.
Three friends visit a museum and walk up a flight of stairs. Ross goes up one step at a time starting with his left foot on the first step. Elena goes up two steps at a time starting with her left foot on the second step and Tom starts with his left foot on the third step and goes up three steps at a time.
Investigate these questions and explain your answers:
(a) Which is the first step that all three will tread on?
(b) Which is the first step that all three will tread on with their right foot?
(c) Which is the first step that all three will tread on with their left foot?
Mrs Claus made four of the workshop elves new suits for Christmas.
Each suit had matching trousers, waistcoat, jacket and hat.
One suit was all red, one was all green, one was all yellow and one was all blue. The elves were delighted with their presents, but decided it would be fun to wear a different outfit every day for as many days as possible. So they agreed to swap around parts of their suits until they ran out of new combinations.
How many days did their fun last?