Abundant Numbers
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.
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.
Round the Dice Decimals 2
What happens when you round these numbers to the nearest whole number?
Greater Than or Less Than?
A4 Fraction Subtraction
This task offers opportunities to subtract fractions using A4 paper.
Maze 100
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?
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?
Twenty Divided into Six
One Wasn't Square
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
More Transformations on a Pegboard
Route Product
Find the product of the numbers on the routes from A to B. Which route has the smallest product? Which the largest?
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?
Six Numbered Cubes
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?
Ribbon Squares
What is the largest 'ribbon square' you can make? And the smallest? How many different squares can you make altogether?