You may also like

problem icon

Homes

There are to be 6 homes built on a new development site. They could be semi-detached, detached or terraced houses. How many different combinations of these can you find?

problem icon

Number Squares

Start with four numbers at the corners of a square and put the total of two corners in the middle of that side. Keep going... Can you estimate what the size of the last four numbers will be?

problem icon

I'm Eight

Find a great variety of ways of asking questions which make 8.

Getting the Balance

Stage: 1 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Daniel from Englefield Infant School had a go at this challenge. First he tried 8 and 3 on the left, as the question suggested:

8+3=1+2+8
8+3=1+3+7
8+3=1+4+6
8+3=2+3+6
8+3=2+4+5

I like the way you have written these in a very logical order, Daniel. Well done! Next, Daniel tried 10 and 9 on the left side of the balance:

10+9=1+8+10
10+9=2+7+10
10+9=2+8+9
10+9=3+6+10
10+9=3+7+9
10+9=4+5+10
10+9=4+6+9
10+9=4+7+8
10+9=5+6+8

Fantastic! Izzy from Tonbridge Grammar School reminds us that:

Whatever the sum of numbers of weights on one side add up to has to be equal with the mass of weights on the other.

Thank you to you both.