PUZZLES TO TEST MATHEMATICAL SKILLS. Age 6-8. Straws
Take nine straws, all the same length.
Make three triangles, all the same size.
Now arrange the nine straws to make four rectangles, all the same size.
Age 11-14. Factors
(a) 72 has exactly 12 factors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.
What are the next two numbers with exactly 12 factors?
(b) A number has exactly eight factors, including itself and 1. Two of its factors are 22 and 55.
What is the number?