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### Number and algebra

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### Working mathematically

### For younger learners

### Advanced mathematics

# Reasoning: The Journey from Novice to Expert (Selection of Tasks)

### Two Numbers Under the Microscope

### Largest Even

### Poly Plug Rectangles

### Which Scripts?

### Rectangle Tangle

### Fraction Fascination

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These tasks particularly lend themselves to helping children along the journey from novice reasoner to expert reasoner. You can read more about supporting learners during this journey in this accompanying article. They form part of our Reasoning Feature, which also includes tasks chosen to provide opportunities for learners to reason for different
purposes and in different ways.

Age 5 to 7

Challenge Level

This investigates one particular property of number by looking closely at an example of adding two odd numbers together.

Age 5 to 11

Challenge Level

How would you create the largest possible two-digit even number from the digit I've given you and one of your choice?

Age 5 to 11

Challenge Level

The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?

Age 7 to 11

Challenge Level

There are six numbers written in five different scripts. Can you sort out which is which?

Age 7 to 11

Challenge Level

The large rectangle is divided into a series of smaller quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the shapes?

Age 7 to 11

Challenge Level

This problem challenges you to work out what fraction of the whole area of these pictures is taken up by various shapes.