
Reasoning, convincing and proving
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problem
Discuss and choose
This activity challenges you to decide on the 'best' number to use in each statement. You may need to do some estimating, some calculating and some research.
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problem
Dicey addition
In these addition games, you'll need to think strategically to get closest to the target.
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problem
Place your orders
Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?
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problem
Finding factors
Can you find the hidden factors which multiply together to produce each quadratic expression?
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problem
Largest even
How would you create the largest possible two-digit even number from the digit I've given you and one of your choice?
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problem
Fill me up
Can you sketch graphs to show how the height of water changes in different containers as they are filled?
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problem
What numbers can we make?
Imagine we have four bags containing a large number of 1s, 4s, 7s and 10s. What numbers can we make?
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problem
More dicey decisions
The twelve edge totals of a standard six-sided die are distributed symmetrically. Will the same symmetry emerge with a dodecahedral die?