More Less Is More
More Less is More printable sheet - game instructions
More Less is More printable sheet - blank grids
These games follow on from Less is More.
The video below introduces this challenge:
You can have a go at the four different versions using this interactivity:
If you are working away from a computer, you could treat this as a game for two people, or play in two teams of two.
You will need a 1-6 or 0-9 dice. The interactivity can be used to simulate throwing different dice.
Each team should draw some cells that look like the pictures below.
In Version 1, you place the numbers after each throw of the dice.
You will need to throw the dice eight times in total. After each throw of the dice, each team decides which of their cells to place that number in.
When all the cells are full, each team will be able to check if their number sentence is correct.
In all cases, you score if the sentence is correct. The score is the result of the calculation on the left of the inequality sign. See the hint for some examples of scoring.
The winner is the team with the highest score.
In between rounds, teams might try to find the highest possible score they could have achieved, if they had known the eight numbers in advance. These scores could be added to their running totals.
In Version 2, you note down all eight dice rolls before deciding where to place them.
Have a go at playing the game and keep a running total of your scores.
Who is the winner after ten rounds?
Who is the first to reach 500 points?
Sum-sum
Take-take
Take-sum
Sum-take
Final challenge:
Imagine that you have thrown the numbers 1-8.
What is the highest possible score for each of the games above?
Can you provide a convincing argument that you have got the highest possible score?
A clue is given in the hints.
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