Factors and Multiples game for an adult and child. How can you make sure you win this game?
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
Can you find a relationship between the number of dots on the circle and the number of steps that will ensure that all points are hit?
Imagine a wheel with different markings painted on it at regular intervals. Can you predict the colour of the 18th mark? The 100th mark?
A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.
A game for 2 or more people. Starting with 100, subratct a number from 1 to 9 from the total. You score for making an odd number, a number ending in 0 or a multiple of 6.
In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?
Work out Tom's number from the answers he gives his friend. He will only answer 'yes' or 'no'.
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.
Play this game and see if you can figure out the computer's chosen number.
Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.
If you have only four weights, where could you place them in order to balance this equaliser?
In this problem we are looking at sets of parallel sticks that cross each other. What is the least number of crossings you can make? And the greatest?
Can you complete this jigsaw of the multiplication square?
Got It game for an adult and child. How can you play so that you know you will always win?
Find a cuboid (with edges of integer values) that has a surface area of exactly 100 square units. Is there more than one? Can you find them all?
Can you explain the strategy for winning this game with any target?
Given the products of adjacent cells, can you complete this Sudoku?
Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?
In a square in which the houses are evenly spaced, numbers 3 and 10 are opposite each other. What is the smallest and what is the largest possible number of houses in the square?
Norrie sees two lights flash at the same time, then one of them flashes every 4th second, and the other flashes every 5th second. How many times do they flash together during a whole minute?
How many different shaped boxes can you design for 36 sweets in one layer? Can you arrange the sweets so that no sweets of the same colour are next to each other in any direction?
How can you use just one weighing to find out which box contains the lighter ten coins out of the ten boxes?
Katie and Will have some balloons. Will's balloon burst at exactly the same size as Katie's at the beginning of a puff. How many puffs had Will done before his balloon burst?
Find the words hidden inside each of the circles by counting around a certain number of spaces to find each letter in turn.
The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?
Play the divisibility game to create numbers in which the first two digits make a number divisible by 2, the first three digits make a number divisible by 3...
Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.
Use the interactivities to complete these Venn diagrams.
This article for teachers describes how number arrays can be a useful representation for many number concepts.
These red, yellow and blue spinners were each spun 45 times in total. Can you work out which numbers are on each spinner?
A three digit number abc is always divisible by 7 when 2a+3b+c is divisible by 7. Why?
The clues for this Sudoku are the product of the numbers in adjacent squares.
What do the numbers shaded in blue on this hundred square have in common? What do you notice about the pink numbers? How about the shaded numbers in the other squares?
Does this 'trick' for calculating multiples of 11 always work? Why or why not?
Suppose we allow ourselves to use three numbers less than 10 and multiply them together. How many different products can you find? How do you know you've got them all?
Ben passed a third of his counters to Jack, Jack passed a quarter of his counters to Emma and Emma passed a fifth of her counters to Ben. After this they all had the same number of counters.
A game for 2 people using a pack of cards Turn over 2 cards and try to make an odd number or a multiple of 3.
This big box multiplies anything that goes inside it by the same number. If you know the numbers that come out, what multiplication might be going on in the box?
I am thinking of three sets of numbers less than 101. They are the red set, the green set and the blue set. Can you find all the numbers in the sets from these clues?
Four of these clues are needed to find the chosen number on this grid and four are true but do nothing to help in finding the number. Can you sort out the clues and find the number?
Imagine we have four bags containing numbers from a sequence. What numbers can we make now?
Find some examples of pairs of numbers such that their sum is a factor of their product. eg. 4 + 12 = 16 and 4 × 12 = 48 and 16 is a factor of 48.
Using your knowledge of the properties of numbers, can you fill all the squares on the board?
A student in a maths class was trying to get some information from her teacher. She was given some clues and then the teacher ended by saying, "Well, how old are they?"
Follow this recipe for sieving numbers and see what interesting patterns emerge.
Choose any 3 digits and make a 6 digit number by repeating the 3 digits in the same order (e.g. 594594). Explain why whatever digits you choose the number will always be divisible by 7, 11 and 13.
A game in which players take it in turns to choose a number. Can you block your opponent?
List any 3 numbers. It is always possible to find a subset of adjacent numbers that add up to a multiple of 3. Can you explain why and prove it?
Imagine we have four bags containing a large number of 1s, 4s, 7s and 10s. What numbers can we make?