problem
Brush Loads
Age
7 to 11
Challenge level
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
Area and perimeter
Age
7 to 11
Challenge level
What can you say about these shapes? This problem challenges you to create shapes with different areas and perimeters.
problem
Round the Dice Decimals 2
Age
7 to 11
Challenge level
What happens when you round these numbers to the nearest whole number?
problem
Greater Than or Less Than?
Age
7 to 11
Challenge level
Use the numbers and symbols to make this number sentence correct. How many different ways can you find?
problem
Abundant Numbers
Age
7 to 11
Challenge level
48 is called an abundant number because it is less than the sum of its factors (without itself). Can you find some more abundant numbers?
problem
Multiplication Squares
Age
7 to 11
Challenge level
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
More Transformations on a Pegboard
Age
7 to 11
Challenge level
Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.
problem
Route Product
Age
7 to 11
Challenge level
Find the product of the numbers on the routes from A to B. Which route has the smallest product? Which the largest?
problem
Through the Window
Age
7 to 11
Challenge level
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
Six Numbered Cubes
Age
7 to 11
Challenge level
This task combines spatial awareness with addition and multiplication.
problem
Making Boxes
Age
7 to 11
Challenge level
Cut differently-sized square corners from a square piece of paper
to make boxes without lids. Do they all have the same volume?
problem
Maze 100
Age
7 to 11
Challenge level
Can you go through this maze so that the numbers you pass add to exactly 100?
problem
Egyptian Rope
Age
7 to 11
Challenge level
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
Age
7 to 11
Challenge level
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
Age
7 to 11
Challenge level
Can you draw a square in which the perimeter is numerically equal to the area?
problem
Twenty Divided into Six
Age
7 to 11
Challenge level
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
One Wasn't Square
Age
7 to 11
Challenge level
Mrs Morgan, the class's teacher, pinned numbers onto the backs of three children. Use the information to find out what the three numbers were.
problem
Reach 100
Age
7 to 11
Challenge level
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
Age
7 to 11
Challenge level
Can you make square numbers by adding two prime numbers together?
problem
Curious number
Age
7 to 11
Challenge level
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
Age
7 to 11
Challenge level
What is the largest 'ribbon square' you can make? And the smallest? How many different squares can you make altogether?