Working systematically

There are 604 NRICH Mathematical resources connected to Working systematically
How long does it take?
problem

How long does it take?

Age
7 to 11
Challenge level
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How long does it take to brush your teeth? Can you find the matching length of time?
Calendar Sorting
problem

Calendar sorting

Age
7 to 11
Challenge level
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The pages of my calendar have got mixed up. Can you sort them out?
Gridlines
problem

Gridlines

Age
14 to 16
Challenge level
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How many triples of points are there in this 4x4 array that lie on a straight line?
Switch On
problem

Switch on

Age
14 to 16
Challenge level
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In how many different ways can a row of five "on/off" switches be set so that no two adjacent switches are in the "off" position?
Latin Multiplication
problem

Latin multiplication

Age
11 to 14
Challenge level
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Can you choose one number from each row and column in this grid to form the largest possibe product?
Bugs in the Garden
problem

Bugs in the garden

Age
5 to 7
Challenge level
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In Sam and Jill's garden there are two sorts of bugs with 7 spots or 4 spots. What numbers of total spots can you make?
Subtracting to 2008
problem

Subtracting to 2008

Age
11 to 14
Challenge level
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Can you work out the sum of the missing digits in this subtraction?
Magic Error
problem

Magic error

Age
11 to 14
Challenge level
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Two of the numbers in a 4x4 magic square have been swapped. Can you work out the sum of these numbers?
Phone Call
problem

Phone call

Age
14 to 16
Challenge level
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How many different phone numbers are there starting with a 3 and with at most two different digits?
Alphabetical Angle
problem

Alphabetical angle

Age
14 to 16
Challenge level
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If all the arrangements of the letters in the word ANGLE are written down in alphabetical order, what position does the word ANGLE occupy?