# Depute First Minister’s Challenge Day 5

### Stepped Pyramid

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?

# Depute First Minister’s Challenge Day 4

### 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?

# Depute First Minister’s Challenge Day 3

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?

# The Depute First Minister’s First Puzzle

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.

Good luck!

### Stepping Up

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.