Working systematically

There are 604 NRICH Mathematical resources connected to Working systematically

problem

Integer indices

Age

14 to 16

Challenge level

From this sum of powers, can you find the sum of the indices?

problem

Twin line-swapping sudoku

Age

14 to 16

Challenge level

A pair of Sudoku puzzles that together lead to a complete solution.

problem

All-variables sudoku

Age

11 to 18

Challenge level

The challenge is to find the values of the variables if you are to solve this Sudoku.

problem

Lcm sudoku ii

Age

11 to 18

Challenge level

You are given the Lowest Common Multiples of sets of digits. Find the digits and then solve the Sudoku.

problem

Colourful tiles

Age

11 to 14

Challenge level

Weekly Problem 21 - 2011
How many ways can you paint this wall with four different colours?

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?

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Working mathematically

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Working systematically

Integer indices

Twin line-swapping sudoku

All-variables sudoku

Lcm sudoku ii

Colourful tiles

Stairs

Snakes

Olympic magic

Ones only

Crack the code