Conjecturing and generalising

There are 405 NRICH Mathematical resources connected to Conjecturing and generalising
What Could \It Be?
problem
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What could it be?

Age
5 to 7
Challenge level
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In this calculation, the box represents a missing digit. What could the digit be? What would the solution be in each case?
Multiply Multiples 3
problem
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Multiply multiples 3

Age
7 to 11
Challenge level
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Have a go at balancing this equation. Can you find different ways of doing it?
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 Two Dice
problem
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Round the two dice

Age
5 to 7
Challenge level
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This activity focuses on rounding to the nearest 10.
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.
Multiply Multiples 2
problem
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Multiply multiples 2

Age
7 to 11
Challenge level
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Can you work out some different ways to balance this equation?
Multiply Multiples 1
problem
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Multiply multiples 1

Age
7 to 11
Challenge level
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Can you complete this calculation by filling in the missing numbers? In how many different ways can you do it?
Two Spinners
problem
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Two spinners

Age
5 to 7
Challenge level
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What two-digit numbers can you make with these two dice? What can't you make?