Working systematically

There are 604 NRICH Mathematical resources connected to Working systematically
Speeding up, slowing down
problem
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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
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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?
First Connect Three
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First connect three

Age
7 to 11
Challenge level
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Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?
Oh! Harry!
problem
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Oh! harry!

Age
7 to 11
Challenge level
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A group of children are using measuring cylinders but they lose the labels. Can you help relabel them?
m, m and m
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M, M and M

Age
11 to 14
Challenge level
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If you are given the mean, median and mode of five positive whole numbers, can you find the numbers?

Sticky Numbers
problem
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Sticky numbers

Age
11 to 14
Challenge level
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Can you arrange the numbers 1 to 17 in a row so that each adjacent pair adds up to a square number?
Which solids can we make?
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Which solids can we make?

Age
11 to 14
Challenge level
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Interior angles can help us to work out which polygons will tessellate. Can we use similar ideas to predict which polygons combine to create semi-regular solids?

American Billions
problem
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American billions

Age
11 to 14
Challenge level
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Play the divisibility game to create numbers in which the first two digits make a number divisible by 2, the first three digits make a number divisible by 3...
Egyptian Rope
problem
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Egyptian rope

Age
7 to 11
Challenge level
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The ancient Egyptians were said to make right-angled triangles using a rope with twelve equal sections divided by knots. What other triangles could you make if you had a rope like this?

Amy's Dominoes
problem
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Amy's dominoes

Age
7 to 11
Challenge level
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Amy has a box containing domino pieces but she does not think it is a complete set. Which of her domino pieces are missing?