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Can you find out what is special about the dimensions of rectangles you can make with squares, sticks and units?
If you know the perimeter of a right angled triangle, what can you say about the area?
What is special about the difference between squares of numbers adjacent to multiples of three?
Which armies can be arranged in hollow square fighting formations?
Can you see how to build a harmonic triangle? Can you work out the next two rows?
Can you find the volume of a cuboid, given its perimeters?
Can you work out how many members this choir has from these percentages?
Brian chooses an integer and operates on it. Work out the largest integer that he could have chosen.
There are unexpected discoveries to be made about square numbers…
Find a factor of 248−1.
The area of a rectangle is 225 square units. Find its width.
Can you put these products in order of size?
Find the shortcut to do this calculation quickly!
What are the possible lengths for the third side of this right-angled triangle?
Is there a temperature at which Celsius and Fahrenheit readings are the same?
In this interactivity each fruit has a hidden value. Can you deduce what each one is worth?
Jane accidentally multiplied by 54 instead of 45, and her answer was 198 too big. What number did she multiply 54 by?
Given an equilateral triangle inside an isosceles triangle, can you find a relationship between the angles?
Take a triangular number, multiply it by 8 and add 1. What is special about your answer? Can you prove it?
A mother wants to share a sum of money by giving each of her children in turn a lump sum plus a fraction of the remainder. How can she do this in order to share the money out equally?
