Factors and multiples

problem
Millennium leap

Age

11 to 14

Challenge level

How many leap years will there be between 2001 and 3001?
problem
What a joke

Age

14 to 16

Challenge level

Each letter represents a different positive digit AHHAAH / JOKE = HA What are the values of each of the letters?
problem
Money measure

Age

7 to 11

Challenge level

How can you use just one weighing to find out which box contains the lighter ten coins out of the ten boxes?
problem
Cuboids

Age

11 to 14

Challenge level

Can you find a cuboid that has a surface area of exactly 100 square units. Is there more than one? Can you find them all?
problem
Ben's game

Age

11 to 16

Challenge level

Ben, Jack and Emma passed counters to each other and ended with the same number of counters. How many did they start with?
problem
Can it be?

Age

16 to 18

Challenge level

When if ever do you get the right answer if you add two fractions by adding the numerators and adding the denominators?
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
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?
problem
Colour wheels

Age

7 to 11

Challenge level

Imagine a wheel with different markings painted on it at regular intervals. Can you predict the colour of the 18th mark? The 100th mark?