Working systematically

There are 604 NRICH Mathematical resources connected to Working systematically

problem

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Twenty divided into six

Age

7 to 11

Challenge level

Katie had a pack of 20 cards numbered from 1 to 20. She arranged the cards into 6 unequal piles where each pile added to the same total. What was the total and how could this be done?

problem

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Plenty of pens

Age

7 to 11

Challenge level

Amy's mum had given her £2.50 to spend. She bought four times as many pens as pencils and was given 40p change. How many of each did she buy?

problem

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5 on the clock

Age

7 to 11

Challenge level

On a digital clock showing 24 hour time, over a whole day, how many times does a 5 appear? Is it the same number for a 12 hour clock over a whole day?

problem

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Ratio sudoku 1

Age

11 to 16

Challenge level

A Sudoku with clues as ratios.

problem

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Diagonal sums sudoku

Age

7 to 16

Challenge level

Solve this Sudoku puzzle whose clues are in the form of sums of the numbers which should appear in diagonal opposite cells.

problem

Favourite

Shifting times tables

Age

11 to 14

Challenge level

Can you find a way to identify times tables after they have been shifted up or down?

problem

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Training schedule

Age

14 to 16

Challenge level

The heptathlon is an athletics competition consisting of 7 events. Can you make sense of the scoring system in order to advise a heptathlete on the best way to reach her target?

problem

Favourite

Round and round the circle

Age

7 to 11

Challenge level

What happens if you join every second point on this circle? How about every third point? Try with different steps and see if you can predict what will happen.

problem

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Number detective

Age

5 to 11

Challenge level

Follow the clues to find the mystery number.

problem

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All CD Heaven stores were given the same number of a popular CD to sell for £24. In their two week sale each store reduces the price of the CD by 25% ... How many CDs did the store sell at each price?

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Working systematically

Twenty divided into six

Plenty of pens

5 on the clock

Ratio sudoku 1

Diagonal sums sudoku

Shifting times tables

Training schedule

Round and round the circle

Number detective

Cd heaven