Can you work out how to balance this equaliser? You can put more than one weight on a hook.
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?
Ben and his mum are planting garlic. Use the interactivity to help you find out how many cloves of garlic they might have had.
Help share out the biscuits the children have made.
Pat counts her sweets in different groups and both times she has some left over. How many sweets could she have had?
This activity focuses on doubling multiples of five.
"Ip dip sky blue! Who's 'it'? It's you!" Where would you position yourself so that you are 'it' if there are two players? Three players ...?
Can you complete this jigsaw of the multiplication square?
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?
Got It game for an adult and child. How can you play so that you know you will always win?
Find the squares that Froggie skips onto to get to the pumpkin patch. She starts on 3 and finishes on 30, but she lands only on a square that has a number 3 more than the square she skips from.
Andrew decorated 20 biscuits to take to a party. He lined them up and put icing on every second biscuit and different decorations on other biscuits. How many biscuits weren't decorated?
Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
Starting with the number 180, take away 9 again and again, joining up the dots as you go. Watch out - don't join all the dots!
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 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?
Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?
If you have only four weights, where could you place them in order to balance this equaliser?
How many trains can you make which are the same length as Matt's, using rods that are identical?
Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?
Find the words hidden inside each of the circles by counting around a certain number of spaces to find each letter in turn.
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.
Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?
An environment which simulates working with Cuisenaire rods.
On a farm there were some hens and sheep. Altogether there were 8 heads and 22 feet. How many hens were there?
Can you find just the right bubbles to hold your number?
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?
Does a graph of the triangular numbers cross a graph of the six times table? If so, where? Will a graph of the square numbers cross the times table too?
Use the interactivity to sort these numbers into sets. Can you give each set a name?
Can you place the numbers from 1 to 10 in the grid?
These red, yellow and blue spinners were each spun 45 times in total. Can you work out which numbers are on each spinner?
This article for teachers describes how number arrays can be a useful reprentation for many number concepts.
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.
Imagine a wheel with different markings painted on it at regular intervals. Can you predict the colour of the 18th mark? The 100th mark?
How can you use just one weighing to find out which box contains the lighter ten coins out of the ten boxes?
Yasmin and Zach have some bears to share. Which numbers of bears can they share so that there are none left over?
A game that tests your understanding of remainders.
In this maze of hexagons, you start in the centre at 0. The next hexagon must be a multiple of 2 and the next a multiple of 5. What are the possible paths you could take?
In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?
Can you order the digits from 1-3 to make a number which is divisible by 3 so when the last digit is removed it becomes a 2-figure number divisible by 2, and so on?
If you count from 1 to 20 and clap more loudly on the numbers in the two times table, as well as saying those numbers loudly, which numbers will be loud?
Use cubes to continue making the numbers from 7 to 20. Are they sticks, rectangles or squares?
Look at three 'next door neighbours' amongst the counting numbers. Add them together. What do you notice?
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?
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?
Investigate the sum of the numbers on the top and bottom faces of a line of three dice. What do you notice?
Look at the squares in this problem. What does the next square look like? I draw a square with 81 little squares inside it. How long and how wide is my square?
Nearly all of us have made table patterns on hundred squares, that is 10 by 10 grids. This problem looks at the patterns on differently sized square grids.
Use this grid to shade the numbers in the way described. Which numbers do you have left? Do you know what they are called?