Make 37
Four bags contain a large number of 1s, 3s, 5s and 7s. Can you pick any ten numbers from the bags so that their total is 37?
Odd times even
This problem looks at how one example of your choice can show something about the general structure of multiplication.
Blackcurrantiest
History of fractions
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?
Magic Vs
Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?
Nice or nasty
There are nasty versions of this dice game but we'll start with the nice ones...
Bryony's triangle
Watch the video to see how to fold a square of paper to create a flower. What fraction of the piece of paper is the small triangle?
Which would you rather?
Would you rather: Have 10% of $5 or 75% of 80ยข? Be given 60% of 2 pizzas or 26% of 5 pizzas?
Round the four dice
This activity involves rounding four-digit numbers to the nearest thousand.
Round the dice decimals 2
What happens when you round these numbers to the nearest whole number?
Multiply multiples 3
Have a go at balancing this equation. Can you find different ways of doing it?
Division rules
This challenge encourages you to explore dividing a three-digit number by a single-digit number.
Factors and multiples game
A game in which players take it in turns to choose a number. Can you block your opponent?
Dicey operations
In these addition and subtraction games, you'll need to think strategically to get closest to the target.
Flashing lights
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?
Matching fractions, decimals and percentages
Can you match pairs of fractions, decimals and percentages, and beat your previous scores?
Fractional wall
Using the picture of the fraction wall, can you find equivalent fractions?
Route product
Find the product of the numbers on the routes from A to B. Which route has the smallest product? Which the largest?
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?
How much?
Use your logical-thinking skills to deduce how much Dan's crisps and ice-cream cost altogether.
Chocolate
There are three tables in a room with blocks of chocolate on each. Where would be the best place for each child in the class to sit if they came in one at a time?
Roll these dice
Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possible answers?
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.
Forgot the numbers
On my calculator I divided one whole number by another whole number and got the answer 3.125. If the numbers are both under 50, what are they?
Factor lines
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
Two primes make one square
Can you make square numbers by adding two prime numbers together?
Orange drink
A 750 ml bottle of concentrated orange squash is enough to make fifteen 250 ml glasses of diluted orange drink. How much water is needed to make 10 litres of this drink?
Multiples grid
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?
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?
Curious number
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?