Working systematically

There are 604 NRICH Mathematical resources connected to Working systematically

problem

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Summing consecutive numbers

Age

11 to 14

Challenge level

15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?

problem

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Half time

Age

5 to 11

Challenge level

What could the half time scores have been in these Olympic hockey matches?

problem

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Jumping squares

Age

5 to 7

Challenge level

In this problem it is not the squares that jump, you do the jumping! The idea is to go round the track in as few jumps as possible.

problem

Favourite

Can they be equal?

Age

11 to 14

Challenge level

Can you find rectangles where the value of the area is the same as the value of the perimeter?

problem

Favourite

Number pyramids

Age

11 to 14

Challenge level

Try entering different sets of numbers in the number pyramids. How does the total at the top change?

game

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The remainders game

Play this game and see if you can figure out the computer's chosen number.

problem

Favourite

Roll these dice

Age

7 to 11

Challenge level

Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possible answers?

problem

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Let's investigate triangles

Age

5 to 7

Challenge level

Vincent and Tara are making triangles with the class construction set. They have a pile of strips of different lengths. How many different triangles can they make?

problem

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Mixed-up socks

Age

5 to 7

Challenge level

Start with three pairs of socks. Now mix them up so that no mismatched pair is the same as another mismatched pair. Is there more than one way to do it?

problem

Favourite

Counting factors

Age

11 to 14

Challenge level

Is there an efficient way to work out how many factors a large number has?

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For younger learners

Working systematically

Summing consecutive numbers

Half time

Jumping squares

Can they be equal?

Number pyramids

The remainders game

Roll these dice

Let's investigate triangles

Mixed-up socks

Counting factors