problem
Less is More
Use your knowledge of place value to try to win this game. How will you maximise your score?
problem
Picture Your Method
Can you match these calculation methods to their visual representations?
problem
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.
problem
Compare the Calculations
Can you put these four calculations into order of difficulty? How did you decide?
problem
Guess What?
Can you find out which 3D shape your partner has chosen before they work out your shape?
problem
An Easy Way to Multiply by 10?
Do you agree with Badger's statements? Is Badger's reasoning 'watertight'? Why or why not?
problem
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.
problem
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?
problem
Highest and Lowest
Put operations signs between the numbers 3 4 5 6 to make the highest possible number and lowest possible number.
problem
Space distances
This task focuses on distances travelled by the asteroid Florence. It's an opportunity to work with very large numbers.
problem
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?
problem
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?
problem
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.
problem
Two Primes Make One Square
Can you make square numbers by adding two prime numbers together?
problem
Making Rectangles
A task which depends on members of the group noticing the needs of others and responding.
problem
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?
problem
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?
problem
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?
problem
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?
problem
Numerically Equal
Can you draw a square in which the perimeter is numerically equal to the area?
problem
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?
problem
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?
problem
Ribbon Squares
What is the largest 'ribbon square' you can make? And the smallest? How many different squares can you make altogether?