Working systematically

There are 604 NRICH Mathematical resources connected to Working systematically
5 on the clock
problem
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5 on the clock

Age
7 to 11
Challenge level
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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?
Ratio Sudoku 1
problem
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Ratio sudoku 1

Age
11 to 16
Challenge level
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A Sudoku with clues as ratios.
Diagonal Sums Sudoku
problem
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Diagonal sums sudoku

Age
7 to 16
Challenge level
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Solve this Sudoku puzzle whose clues are in the form of sums of the numbers which should appear in diagonal opposite cells.
Shifting Times Tables
problem
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Shifting times tables

Age
11 to 14
Challenge level
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Can you find a way to identify times tables after they have been shifted up or down?

Training schedule
problem
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Training schedule

Age
14 to 16
Challenge level
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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?
Round and round the circle
problem
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Round and round the circle

Age
7 to 11
Challenge level
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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.

Magnifying glass
problem
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Number detective

Age
5 to 11
Challenge level
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Follow the clues to find the mystery number.

CD Heaven
problem
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Cd heaven

Age
14 to 16
Challenge level
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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?
What's it worth?
problem
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What's it worth?

Age
11 to 16
Challenge level
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There are lots of different methods to find out what the shapes are worth - how many can you find?

One Wasn't Square
problem
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One wasn't square

Age
7 to 11
Challenge level
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Mrs Morgan, the class's teacher, pinned numbers onto the backs of three children. Use the information to find out what the three numbers were.