Dicey perimeter, dicey area
Brush loads
How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them? Try with other numbers of cubes as well.
Area and perimeter
What can you say about these shapes? This problem challenges you to create shapes with different areas and perimeters.
Tom learns to cook
Journeys
Rope mat
Wonky watches
Stuart's watch loses two minutes every hour. Adam's watch gains one minute every hour. Use the information to work out what time (the real time) they arrived at the airport.
Two clocks
These clocks have only one hand, but can you work out what time they are showing from the information?
Fitted
Nine squares with side lengths 1, 4, 7, 8, 9, 10, 14, 15, and 18 cm can be fitted together to form a rectangle. What are the dimensions of the rectangle?
Fives on the clock
Times
A Cartesian puzzle
Find the missing coordinates which will form these eight quadrilaterals. These coordinates themselves will then form a shape with rotational and line symmetry.
How safe are you?
Making cuboids
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.
Stringy quads
This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!
Quadrilaterals
How many DIFFERENT quadrilaterals can be made by joining the dots on the 8-point circle?
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?
Blackcurrantiest
Odd times even
History of fractions
Which would you rather?
Round the four dice
Round the dice decimals 2
What happens when you round these numbers to the nearest whole number?
Multiply multiples 3
Division rules
Factors and multiples game
A game in which players take it in turns to choose a number. Can you block your opponent?
Flashing lights
Matching fractions, decimals and percentages
Fractional wall
Using the picture of the fraction wall, can you find equivalent fractions?
First connect three
Magic Vs
Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?
Nice or nasty
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?
How much?
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
Two primes make one square
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
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 find the smallest number that lights up all four lights?
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?
Real statistics
Have a look at this table of how children travel to school. How does it compare with children in your class?