Positive and negative numbers

problem
Tug harder!

Age

7 to 11

Challenge level

In this game, you can add, subtract, multiply or divide the numbers on the dice. Which will you do so that you get to the end of the number line first?
problem
Minus one two three

Age

14 to 16

Challenge level

Substitute -1, -2 or -3, into an algebraic expression and you'll get three results. Is it possible to tell in advance which of those three will be the largest ?
problem
Consecutive negative numbers

Age

11 to 14

Challenge level

Do you notice anything about the solutions when you add and/or subtract consecutive negative numbers?
problem
First connect three

Age

7 to 11

Challenge level

Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?
problem
Connect three

Age

11 to 16

Challenge level

In this game the winner is the first to complete a row of three. Are some squares easier to land on than others?
problem
Swimming pool

Age

5 to 11

Challenge level

In this problem, we're investigating the number of steps we would climb up or down to get out of or into the swimming pool. How could you number the steps below the water?
problem
Pros and cons

Age

14 to 16

Challenge level

If p is a positive integer and q is a negative integer, which of these expressions is the greatest?
problem
Sum one special

Age

11 to 14

Challenge level

Three different integers have a sum of 1 and a product of 36 - what are they?
problem
Minus one party

Age

11 to 14

Challenge level

Weekly Problem 47 - 2013
What is the value of the given expression?
problem
Negative dice

Age

11 to 14

Challenge level

If the odd numbers on two dice are made negative, which of the totals cannot be achieved?