Working systematically

There are 604 NRICH Mathematical resources connected to Working systematically
Stars
problem
Favourite

Stars

Age
11 to 14
Challenge level
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Can you work out what step size to take to ensure you visit all the dots on the circle?
How far does it move?
problem
Favourite

How far does it move?

Age
11 to 14
Challenge level
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Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects the distance it travels at each stage.

Magic potting sheds
problem
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Magic potting sheds

Age
11 to 16
Challenge level
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Mr McGregor has a magic potting shed. Overnight, the number of plants in it doubles. He'd like to put the same number of plants in each of three gardens, planting one garden each day. Can he do it?
Matchless
problem
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Matchless

Age
14 to 16
Challenge level
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There is a particular value of x, and a value of y to go with it, which make all five expressions equal in value, can you find that x, y pair ?
Latin Numbers
problem
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Latin numbers

Age
14 to 16
Challenge level
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Can you create a Latin Square from multiples of a six digit number?
How many Times?
problem
Favourite

How many times?

Age
7 to 11
Challenge level
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On a digital 24 hour clock, at certain times, all the digits are consecutive. How many times like this are there between midnight and 7 a.m.?
Sealed Solution
problem
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Sealed solution

Age
7 to 11
Challenge level
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Ten cards are put into five envelopes so that there are two cards in each envelope. The sum of the numbers inside it is written on each envelope. What numbers could be inside the envelopes?
A Mixed-up Clock
problem
Favourite

A mixed-up clock

Age
7 to 11
Challenge level
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There is a clock-face where the numbers have become all mixed up. Can you find out where all the numbers have got to from these ten statements?

Speeding up, slowing down
problem
Favourite

Speeding up, slowing down

Age
11 to 14
Challenge level
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Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its speed at each stage.

More Magic Potting sheds
problem
Favourite

More magic potting sheds

Age
11 to 16
Challenge level
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The number of plants in Mr McGregor's magic potting shed increases overnight. He'd like to put the same number of plants in each of his gardens, planting one garden each day. How can he do it?