The answer to the first problem is:
[9][5] x [7][6] + [4] x [1] = 7224

The answer to the second problem is:
There will only be 3 lily pads that both frogs jump on - Number 6, 12 and 18.

This weeks problem:

There are 12 people in a room. 6 people are wearing socks and 4 people are wearing shoes, 3 people are wearing both. How many people are in bare feet?

Well done once again problem solvers!

Last weeks answer is

The number of children = number of different combinations of two different flavours.

1,2 2,3 3,4 4,5 5,6 6,7 7,8 8,9

1,3 2,4 3,5 4,6 5,7 6,8 7,9

1,4 2,5 3,6 4,7 5,8 6,9

1,5 2,6 3,7 4,8 5,9

1,6 2,7 3,8 4,9

1,7 2,8 3,9

1,8 2,9

1,9

36 = 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 There are 36 children.



This week I am posing 2 problems.

The first one is:

Place the digits 9,4, 7, 6, 5, 1, in the boxes in order to get the largest result.

[ ][ ] x [ ][ ] + [ ] x [ ] = ?



The second problem is:

Two frogs are hopping along a path one lily pad wide, going in the same direction. There are 18 lily pads and one frog jumps 3 lily pads at a time, the other jumps two lily pads at a time. If the frogs leave the shore one after the other, how many lily pads will be jumped on by both frogs?

Happy Problem Solving!

Hi Team
Once again some great problem solving - sorry for the delay in getting this weeks problem on-line.

Last weeks answer:
Find a pattern.
2 steps 3 cubes 2 + 1
3 steps 6 cubes 3 + (2 + 1)
4 steps 10 cubes 4 + (3 + 2 + 1)
5 steps
9 steps 45 cubes 9 + (8 + 7 + 6 + 5 + 4 + 3 + 2 + 1)
You will need 45 cubes.

This weeks problem:

An ice cream stand has nine different flavours. A group of children come to the stand and each buys a double scoop cone with two flavours of ice cream. If none of the children choose the same combination of flavours, and every different combination of flavors is chosen, how many children are there?
FLAVOURS
1 Vanilla
2 Maple
3 Chocolate
4 Tiger
5 Raspberry
6 Strawberry
7 Coffee
8 Moon Mist
9 Cherry Vanilla