This activity investigates how you might make squares and pentominoes from Polydron.
If you had 36 cubes, what different cuboids could you make?
How can you put five cereal packets together to make different
shapes if you must put them face-to-face?
Because Jim needs 50p more to buy the chocolate, we know the
chocolate costs at least 50p.
I used trial and improvement to find the answer.
If the chocolate (C) costs 100p, then Jim has 50p and George has
98p. But the total would be 148p and this is too much, because they
say that Jim and George do not have enough money when it's put
This means the chocolate bar is less than 100p but more than
So the right answer is either 50p or 51p. If Jim definitely has
some money, then the cost of the chocolate bar is 51p.
Well done, Jack. Luke from St. Nicolas Junior School, Newbury reasoned his way through the solution :
George needs 2p more, so Jim must have less
than 2p because otherwise, he would have given George the 2p he
needed. So I chose 1p for Jim. As Jim needed 50p more, the
chocolate bar must cost 51p.
Add George's money and Jim's money, which
is 50p, so they still don't have enough to buy the chocolate bar
together. Another solution I found was:
This works but the words of the question make me think that Jim
must have some money, that is 1p.
Very well explained, Luke. Finally, Mikey from
Archbishop of York C of E School used algebra to arrive at his
Another clear solution -