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problem

Favourite

The Brown family

5 to 7

Use the information about Sally and her brother to find out how many children there are in the Brown family.

problem

Summing squares

14 to 16

Discover a way to sum square numbers by building cuboids from small cubes. Can you picture how the sequence will grow?

problem

Circumspection

14 to 16

M is any point on the line AB. Squares of side length AM and MB are constructed and their circumcircles intersect at P (and M). Prove that the lines AD and BE produced pass through P.

problem

Multiple choice

11 to 14

How many questions did Sarah answer correctly in this multiple choice exam?

problem

Mean balance

14 to 16

Given information about the mean, can you work out the missing numbers?

problem

There are exactly 3 ways to add 4 odd numbers to get 10. Find all the ways of adding 8 odd numbers to get 20. To be sure of getting all the solutions you will need to be systematic. What about a total of 15 with 6 odd numbers?