Beads and Bags
The Numbers Give the Design
Make new patterns from simple turning instructions. You can have a go using pencil and paper or with a floor robot.
Dotty Six
Dotty Six is a simple dice game that you can adapt in many ways.
Sitting Round the Party Tables
Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.
Carrying Cards
These sixteen children are standing in four lines of four, one behind the other. They are each holding a card with a number on it. Can you work out the missing numbers?
Follow the Numbers
What happens when you add the digits of a number then multiply the result by 2 and you keep doing this? You could try for different numbers and different rules.
A Square of Numbers
Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?
Light the Lights Again
Each light in this interactivity turns on according to a rule. What happens when you enter different numbers? Can you work out the rule for each light?
Fifteen Cards
Can you use the information to find out which cards I have used?
Buying a Balloon
Lolla bought a balloon at the circus. She gave the clown six coins to pay for it. What could Lolla have paid for the balloon?
Half Time
What could the half time scores have been in these Olympic hockey matches?
Two Primes Make One Square
Can you make square numbers by adding two prime numbers together?
Highest and Lowest
Put operations signs between the numbers 3, 4, 5 and 6 to make the highest possible number and lowest possible number.
Four Goodness' Sake
Use 4 four times in a calculation. What answers can you get?
Sealed Solution
Ten cards are put into five envelopes so that there are two cards in each envelope. The sum of the numbers inside it is written on each envelope. What numbers could be inside the envelopes?
Number Differences
Place the numbers from 1 to 9 in the squares below so that the difference between joined squares is odd. How many different ways can you do this?
Some Secret Codes
Can you follow the rule to decode the messages?
Prison Cells
There are 78 prisoners in a square cell block of twelve cells. The clever prison warder arranged them so there were 25 along each wall of the prison block. How did he do it?
Counting Cards
A magician took a suit of thirteen cards and held them in his hand face down. Every card he revealed had the same value as the one he had just finished spelling. How did this work?
Make 37
Four bags contain a large number of 1s, 3s, 5s and 7s. Can you pick ten numbers from the bags so that their total is 37?