

Round the four dice
This activity involves rounding four-digit numbers to the nearest thousand.

Round the three dice
What happens when you round these three-digit numbers to the nearest 100?

Name that triangle!
Can you sketch triangles that fit in the cells in this grid? Which ones are impossible? How do you know?

More Dicey operations
In these multiplication and division games, you'll need to think strategically to get closest to the target.

Dicey operations
In these addition and subtraction games, you'll need to think strategically to get closest to the target.

The moons of Vuvv
The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?

Plenty of pens
Amy's mum had given her £2.50 to spend. She bought four times as many pens as pencils and was given 40p change. How many of each did she buy?

First connect three
Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?

Treasure hunt
Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?

Jumping
After training hard, these two children have improved their results. Can you work out the length or height of their first jumps?

Birdwatch
Have a look at this data from the RSPB 2011 Birdwatch. What can you say about the data?


Different deductions
There are lots of different methods to find out what the shapes are worth - how many can you find?

Round and round the circle
What happens if you join every second point on this circle? How about every third point? Try with different steps and see if you can predict what will happen.

Pumpkin pie problem
Peter wanted to make two pies for a party. His mother had a recipe for him to use. However, she always made 80 pies at a time. Did Peter have enough ingredients to make two pumpkin pies?

Mystery matrix
Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.

Sponge sections
You have been given three shapes made out of sponge: a sphere, a cylinder and a cone. Your challenge is to find out how to cut them to make different shapes for printing.

Cut nets
Each of the nets of nine solid shapes has been cut into two pieces. Can you see which pieces go together?

Factor-multiple chains
Can you see how these factor-multiple chains work? Find the chain which contains the smallest possible numbers. How about the largest possible numbers?

Four go
This challenge is a game for two players. Choose two of the numbers to multiply or divide, then mark your answer on the number line. Can you get four in a row?


Doughnut percents
Can you work as a team to make doughnuts by matching these fractions, decimals and percentages?

Counting cogs
Which pairs of cogs let the coloured tooth touch every tooth on the other cog? Which pairs do not let this happen? Why?


Fraction fascination
This problem challenges you to work out what fraction of the whole area of these pictures is taken up by various shapes.