Working systematically

There are 604 NRICH Mathematical resources connected to Working systematically

problem

Stairs

Age

5 to 11

Challenge level

This challenge is to design different step arrangements, which must go along a distance of 6 on the steps and must end up at 6 high.

problem

Snakes

Age

5 to 7

Challenge level

Explore the different snakes that can be made using 5 cubes.

problem

Olympic magic

Age

14 to 16

Challenge level

in how many ways can you place the numbers 1, 2, 3 … 9 in the nine regions of the Olympic Emblem (5 overlapping circles) so that the amount in each ring is the same?

problem

Ones only

Age

11 to 14

Challenge level

Find the smallest whole number which, when mutiplied by 7, gives a product consisting entirely of ones.

problem

Crack the code

Age

7 to 11

Challenge level

The Zargoes use almost the same alphabet as English. What does this birthday message say?

problem

Knight's swap

Age

7 to 11

Challenge level

Swap the stars with the moons, using only knights' moves (as on a chess board). What is the smallest number of moves possible?

problem

Logo challenge - sequences and pentagrams

Age

11 to 18

Challenge level

Explore this how this program produces the sequences it does. What are you controlling when you change the values of the variables?

problem

Eight queens

Age

7 to 11

Challenge level

Place eight queens on an chessboard (an 8 by 8 grid) so that none can capture any of the others.

problem

Uncanny triangles

Age

7 to 11

Challenge level

Can you help the children find the two triangles which have the lengths of two sides numerically equal to their areas?

problem

Four-triangle arrangements

Age

5 to 7

Challenge level

How many different shapes can you make by putting four right- angled isosceles triangles together?

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For younger learners

Working systematically

Stairs

Snakes

Olympic magic

Ones only

Crack the code

Knight's swap

Logo challenge - sequences and pentagrams

Eight queens

Uncanny triangles

Four-triangle arrangements