### Cubes

How many faces can you see when you arrange these three cubes in different ways?

### Pebbles

Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?

### Bracelets

Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?

# Highest and Lowest

##### Age 7 to 11 Challenge Level:
We had just a few submissions to this challenge.

Brodie & Tully from  St Patrick's School Macksville NSW in Australia sent in the following;

Highest
(4-3+5)x6=36
Lowest
6/3+4-5=1
(4-3+5)/6
Highest-1, 2, 3, 4, 5, 6
(3+4)/(2-1)x5x6=210
Lowest
(4-3)x2/1+(5-6)=1

M, T and G (Y3) from  Monteney Primary School, Sheffield wrote;

M, T and G say that to make the greatest possible total you need to "multiply all the numbers together but not one"  Multiplying all of the numbers 2, 3, 4, 5 and 6 together generate a total of 720.

2 x 3 = 6
6 x 4  = 24
24 x 5 = 120
120 x 6 = 720

If you add one to your total you get a total of 721.

720 + 1 = 721

M, T and G said that you add one to make the biggest total, because if you multiplied your total by one then your answer of 720 wouldn't change.

Ashkan from Gorsefield Primary wrote;

The highest I found was:

3 - 4 + (5 x 6) = 29.

I did 5 x 6 which = 30. Then I did 3 - 4 which is -1. Finally I did -1 + 30 = 29.

The lowest I found was:

3 - 4 + (5 / 6) = 0.167

I did 5 / 6 = 0.833. Then I did 3 - 4 = -1. Finally I did -1 + 0.833 = 0.167.

Thank you for all these different solutions. You may like to use these in class to discuss further the ideas each solution had and whether there is anything better.