Multiplication and division

problem
Twizzle's journey

Age

5 to 7

Challenge level

Twizzle, a female giraffe, needs transporting to another zoo. Which route will give the fastest journey?
problem
One million to seven

Age

7 to 11

Challenge level

Start by putting one million (1 000 000) into the display of your calculator. Can you reduce this to 7 using just the 7 key and add, subtract, multiply, divide and equals as many times as you like?
problem
The money maze

Age

7 to 11

Challenge level

Go through the maze, collecting and losing your money as you go. Which route gives you the highest return? And the lowest?
problem
Interstellar

Age

11 to 14

Challenge level

What number could replace * so that */5 is between 3 and 4?
problem
Orange drink

Age

7 to 11

Challenge level

A 750 ml bottle of concentrated orange squash is enough to make fifteen 250 ml glasses of diluted orange drink. How much water is needed to make 10 litres of this drink?
problem
Fair feast

Age

5 to 11

Challenge level

Here is a picnic that Petros and Michael are going to share equally. Can you tell us what each of them will have?
problem
Lots of lollies

Age

5 to 7

Challenge level

Frances and Rishi were given a bag of lollies. They shared them out evenly and had one left over. How many lollies could there have been in the bag?
problem
Share bears

Age

5 to 7

Challenge level

Yasmin and Zach have some bears to share. Which numbers of bears can they share so that there are none left over?
problem
Peaches today, peaches tomorrow...

Age

11 to 14

Challenge level

A monkey with peaches, keeps a fraction of them each day, gives the rest away, and then eats one. How long can his peaches last?
problem
Number tracks

Age

7 to 11

Challenge level

Ben's class were cutting up number tracks. First they cut them into twos and added up the numbers on each piece. What patterns could they see?