Are You Well Balanced?


10 = 1+1+1+1+1+1+1+1+1+1
10 = 2+2+2+2+2
10 = 5+5
10 = 10
20 = ten on the 2 hook
20 = four on the 5 hook
20 = five on the 2 and two on the 5
10 = one on the 3 and one on the 7
10 = one on the 3 and seven on the 1
10 = two on the 3 and one on the 4
10 = two on the 3 and two on the 2
10 = two on the 3 and four on the 1
10 = three on the 3 and one on the 1

This problem is an extension of Number Balance . It builds on the idea of number bonds by introducing repeated addition and therefore concepts of multiplication. Inviting children to explore for themselves how the balance works by adding and taking off weights is a vital part of their learning. This could then be followed up by a whole class discussion before asking them to tackle the questions.