Highest and lowest
Space distances
Tumbling down
Watch this animation. What do you see? Can you explain why this happens?
Less is more
Picture your method
Multiplication squares
Can you work out the arrangement of the digits in the square so that the given products are correct? The numbers 1 - 9 may be used once and once only.
Compare the calculations
Can you put these four calculations into order of difficulty? How did you decide?
Guess what?
Trebling
Can you replace the letters with numbers? Is there only one solution in each case?
Factors and multiples game
A game in which players take it in turns to choose a number. Can you block your opponent?
An easy way to multiply by 10?
Dicey array
Watch the video of this game being played. Can you work out the rules? Which dice totals are good to get, and why?
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.
Sweets in a box
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?
Maze 100
Through the window
My local DIY shop calculates the price of its windows according to the area of glass and the length of frame used. Can you work out how they arrived at these prices?
Egyptian rope
The ancient Egyptians were said to make right-angled triangles using a rope with twelve equal sections divided by knots. What other triangles could you make if you had a rope like this?
Six numbered cubes
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?
Numerically equal
Can you draw a square in which the perimeter is numerically equal to the area?
Pouring problem
What do you think is going to happen in this video clip? Are you surprised?
Twenty divided into six
Katie had a pack of 20 cards numbered from 1 to 20. She arranged the cards into 6 unequal piles where each pile added to the same total. What was the total and how could this be done?
All the digits
This multiplication uses each of the digits 0 - 9 once and once only. Using the information given, can you replace the stars in the calculation with figures?
Reach 100
Choose four different digits from 1-9 and put one in each box so that the resulting four two-digit numbers add to a total of 100.
Two primes make one square
Can you make square numbers by adding two prime numbers together?
Making rectangles
A task which depends on members of the group noticing the needs of others and responding.
Making boxes
Cut differently-sized square corners from a square piece of paper to make boxes without lids. Do they all have the same volume?
Ribbon squares
What is the largest 'ribbon square' you can make? And the smallest? How many different squares can you make altogether?
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?
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?