Choose some fractions and add them together. Can you get close to 1?
If three brothers will get £20 more if they do not share their money with their sister, how much money is there?
A jigsaw where pieces only go together if the fractions are equivalent.
Can all unit fractions be written as the sum of two unit fractions?
How much of the square is coloured blue? How will the pattern continue?
Can you work out which drink has the stronger flavour?
The large rectangle is divided into quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the ten numbered shapes?
Aisha's division and subtraction calculations both gave the same answer! Can you find some more examples?
The sum of the numbers 4 and 1 [1/3] is the same as the product of 4 and 1 [1/3]; that is to say 4 + 1 [1/3] = 4 × 1 [1/3]. What other numbers have the sum equal to the product and can this be so for any whole numbers?
According to Plutarch, the Greeks found all the rectangles with integer sides, whose areas are equal to their perimeters. Can you find them? What rectangular boxes, with integer sides, have their surface areas equal to their volumes?
