Positive and negative numbers

There are 23 NRICH Mathematical resources connected to Positive and negative numbers
Strange Bank Account
problem

Strange Bank Account

Age
11 to 14
Challenge level
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Imagine a very strange bank account where you are only allowed to do two things...
Weights
problem

Weights

Age
11 to 14
Challenge level
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Different combinations of the weights available allow you to make different totals. Which totals can you make?
Sea Level
problem

Sea Level

Age
7 to 11
Challenge level
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The picture shows a lighthouse and some underwater creatures. Can you work out the distances between some of the different creatures?
Tug Harder!
problem

Tug Harder!

Age
7 to 11
Challenge level
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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?
Minus One Two Three
problem

Minus One Two Three

Age
14 to 16
Challenge level
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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 ?
Consecutive negative numbers
problem

Consecutive negative numbers

Age
11 to 14
Challenge level
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Do you notice anything about the solutions when you add and/or subtract consecutive negative numbers?
First Connect Three
problem

First Connect Three

Age
7 to 11
Challenge level
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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?