Exploring and noticing

There are 412 NRICH Mathematical resources connected to Exploring and noticing
Two Clocks
problem
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Two clocks

Age
7 to 11
Challenge level
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These clocks have only one hand, but can you work out what time they are showing from the information?

Route Product
problem
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Route product

Age
7 to 11
Challenge level
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Find the product of the numbers on the routes from A to B. Which route has the smallest product? Which the largest?

Interactive Spinners
problem
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Interactive spinners

Age
11 to 14
Challenge level
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This interactivity invites you to make conjectures and explore probabilities of outcomes related to two independent events.
Translating Lines
problem
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Translating lines

Age
11 to 14
Challenge level
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Investigate what happens to the equation of different lines when you translate them. Try to predict what will happen. Explain your findings.
Table patterns go wild!
problem
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Table patterns go wild!

Age
7 to 11
Challenge level
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Nearly all of us have made table patterns on hundred squares, that is 10 by 10 grids. This problem looks at the patterns on differently sized square grids.
Sitting round the party tables
problem
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Sitting round the party tables

Age
5 to 11
Challenge level
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Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.
Carroll Diagrams
problem
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Carroll diagrams

Age
5 to 11
Challenge level
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Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?

Roll these Dice
problem
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Roll these dice

Age
7 to 11
Challenge level
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Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possible answers?

Let's Investigate Triangles
problem
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Let's investigate triangles

Age
5 to 7
Challenge level
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Vincent and Tara are making triangles with the class construction set. They have a pile of strips of different lengths. How many different triangles can they make?

Missing Middles
problem
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Missing middles

Age
5 to 7
Challenge level
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Can you work out the domino pieces which would go in the middle in each case to complete the pattern of these eight sets of three dominoes?