Working systematically

There are 604 NRICH Mathematical resources connected to Working systematically
Greater Than or Less Than?
problem
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Greater than or less than?

Age
7 to 11
Challenge level
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Use the numbers and symbols to make this number sentence correct. How many different ways can you find?
Unit Differences
problem
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Unit differences

Age
5 to 7
Challenge level
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This challenge is about finding the difference between numbers which have the same tens digit.
Round the Dice Decimals 1
problem
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Round the dice decimals 1

Age
7 to 11
Challenge level
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Use two dice to generate two numbers with one decimal place. What happens when you round these numbers to the nearest whole number?

Round the Three Dice
problem
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Round the three dice

Age
7 to 11
Challenge level
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What happens when you round these three-digit numbers to the nearest 100?

Round the Dice Decimals 2
problem
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Round the dice decimals 2

Age
7 to 11
Challenge level
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What happens when you round these numbers to the nearest whole number?

Round the Four Dice
problem
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Round the four dice

Age
7 to 11
Challenge level
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This activity involves rounding four-digit numbers to the nearest thousand.
Shape Draw
problem
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Shape draw

Age
7 to 11
Challenge level
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Use the information on these cards to draw the shape that is being described.

Through the Window
problem
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Through the window

Age
7 to 11
Challenge level
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My local DIY shop calculates the price of its windows according to the area of glass and the length of frame used. Can you work out how they arrived at these prices?

Dicey Perimeter, Dicey Area
game
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Dicey perimeter, dicey area

In this game for two players, you throw two dice and find the product. How many shapes can you draw on the grid which have that area or perimeter?
Play to 37
problem
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Play to 37

Age
7 to 11
Challenge level
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In this game for two players, the idea is to take it in turns to choose 1, 3, 5 or 7. The winner is the first to make the total 37.