You may also like

problem icon

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?

problem icon

Sweets in a Box

How many different shaped boxes can you design for 36 sweets in one layer? Can you arrange the sweets so that no sweets of the same colour are next to each other in any direction?

problem icon

Maze 100

Can you go through this maze so that the numbers you pass add to exactly 100?

Highest and Lowest

Stage: 2 Challenge Level: Challenge Level:1
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.