Skittles There are 4 skittles numbered 1, 2, 3 and 4. Can you find two different ways to score 5, 6 and 7?

Oranges Bob bought a bag of oranges on Monday and ate half of them. On Tuesday he ate half the oranges he had left. On Wednesday he had only two oranges left. How many oranges did he have to begin with?

How many ways can you spend 45p using only silver coins? Money Puzzle How many ways can you spend 45p using only silver coins?

A witch wants to make a brew but it can Witches brew A witch wants to make a brew but it can only have 20 legs in it. She has spiders, lizards and bats. What could she use to make her brew?

Flat numbers A new block of flats has been built with 100 flats. Dave has to paint the numbers from 1 to 100 on the doors. How many times will he have to paint the number 9?

Sudoku Every row, column and mini-grid must contain the numbers 1 to 4. Don’t guess – work it out! 3 4 1 2

Magic squares Put the numbers 1 to 9 in this square so that every horizontal, vertical and diagonal line adds up to 15? 5

What are the next two numbers in this pattern? What next? What are the next two numbers in this pattern? 1 2 3 5 ? ?

Number puzzle If you start with the number one, how far do you have to count before you need to use the letter ‘a’ in writing a number?

Cinema puzzle I f you go to the cinema and you are paying, is it cheaper to take one friend twice or two friends at the same time?

Sudoku Every row, column and mini-grid must contain the numbers 1 6. Don’t guess – work it out! 2 1 4 3 6 5

Four lines Put nine dots in a grid: Can you go through all nine dots with four straight lines? You can’t take your pen off the paper. You can start where you like.

What is the next letter in this sequence? O T T F F S S E N ? What next? What is the next letter in this sequence? O T T F F S S E N ?

What’s next? What are the next two letters in this series? It only works using capital letters A E F H I K L M ? ?

Magic squares Put the numbers 1 to 9 in this square so that every horizontal, vertical and diagonal line adds up to the same number? If you do the same action to each number, for example, multiply each number by 2, or add 4, does the magic square still work?

The frog in the well A frog fell in a well that was 12 metres deep. He could jump 3 metres, but every time he did, he would fall back 2 metres. how many times did the frog have to jump until he got out of the well?

Study this How quickly can you find out what is so unusual about this paragraph? It looks so ordinary that you would think that nothing is wrong with it at all, and, in fact, nothing is. But it is unusual. Why? If you study it and think about it, you may find out, but I’m not going to assist you in any way. You must do it without coaching. No doubt, if you work at it, it will dawn on you. Who knows? Go to work and try your skill.

The fox, the hen and the grain You are at a river with a fox, a hen and a bag of grain. You have to cross the river in your canoe but you can only take one thing with you at a time. You can’t leave the hen with the grain, he’ll eat it; you can’t leave the fox with the hen, he’ll eat it. How do you get everything across without anything being eaten?

Snakes When I went to the zoo I counted a total of 27 heads and 70 feet. I was counting snakes, lizards and people. I know that there were exactly twice as many lizards as people. How many snakes did I count?