List

Year 8 Exploring and noticing

Method in multiplying madness?
problem

Method in multiplying madness?

Age
7 to 14
Challenge level
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Watch our videos of multiplication methods that you may not have met before. Can you make sense of them?
Your number was...
problem

Your number was...

Age
11 to 14
Challenge level
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Think of a number and follow my instructions. Tell me your answer, and I'll tell you what you started with! Can you explain how I know?
What numbers can we make?
problem

What numbers can we make?

Age
11 to 14
Challenge level
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Imagine we have four bags containing a large number of 1s, 4s, 7s and 10s. What numbers can we make?
Forwards Add Backwards
problem

Forwards Add Backwards

Age
11 to 14
Challenge level
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What happens when you add a three digit number to its reverse?
Frogs
problem

Frogs

Age
11 to 14
Challenge level
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How many moves does it take to swap over some red and blue frogs? Do you have a method?
Fence it
problem

Fence it

Age
11 to 14
Challenge level
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If you have only 40 metres of fencing available, what is the maximum area of land you can fence off?
Interactive Spinners
problem

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.
Crossed Ends
problem

Crossed Ends

Age
11 to 14
Challenge level
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Crosses can be drawn on number grids of various sizes. What do you notice when you add opposite ends?
Keep it simple
problem

Keep it simple

Age
11 to 14
Challenge level
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Can all unit fractions be written as the sum of two unit fractions?
How much can we spend?
problem

How much can we spend?

Age
11 to 14
Challenge level
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A country has decided to have just two different coins, 3z and 5z coins. Which totals can be made? Is there a largest total that cannot be made? How do you know?
Charlie's delightful machine
problem

Charlie's delightful machine

Age
11 to 16
Challenge level
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Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?
Fibonacci Surprises
problem

Fibonacci Surprises

Age
11 to 14
Challenge level
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Play around with the Fibonacci sequence and discover some surprising results!
Rhombus It
problem

Rhombus It

Age
11 to 16
Challenge level
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Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a rhombus.
Farey Sequences
problem

Farey Sequences

Age
11 to 14
Challenge level
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There are lots of ideas to explore in these sequences of ordered fractions.
Stars
problem

Stars

Age
11 to 14
Challenge level
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Can you work out what step size to take to ensure you visit all the dots on the circle?
Route to infinity
problem

Route to infinity

Age
11 to 14
Challenge level
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Can you describe this route to infinity? Where will the arrows take you next?