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How do these modelling assumption affect the solutions?

The triathlon is a physically gruelling challenge. Can you work out which athlete burnt the most calories?

Imagine we have four bags containing a large number of 1s, 4s, 7s and 10s. What numbers can we make?

Are these statistical statements sometimes, always or never true? Or it is impossible to say?

Can you explain the surprising results Jo found when she calculated the difference between square numbers?

These eleven shapes each stand for a different number. Can you use the multiplication sums to work out what they are?

Can you use small coloured cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of each colour?

Florence, Ethan and Alma have each added together two 'next-door' numbers. What is the same about their answers?

Order these four calculations from easiest to hardest. How did you decide?