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Understanding Inverse Relationships

Working backwards is an important part of mathematical problem solving. In this feature, we share problems that encourage students to think about the relationships between processes and their inverses.

missing multipliers
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Missing Multipliers

Age
7 to 14
Challenge level
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What is the smallest number of answers you need to reveal in order to work out the missing headers?
Number Pyramids
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Number Pyramids

Age
11 to 14
Challenge level
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Try entering different sets of numbers in the number pyramids. How does the total at the top change?

More Number Pyramids
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More Number Pyramids

Age
11 to 14
Challenge level
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When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...

Finding factors
problem
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Finding factors

Age
14 to 16
Challenge level
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Can you find the hidden factors which multiply together to produce each quadratic expression?
Integration matcher
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Integration matcher

Age
16 to 18
Challenge level
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Can you match the charts of these functions to the charts of their integrals?
Function Pyramids
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Function Pyramids

Age
16 to 18
Challenge level
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A function pyramid is a structure where each entry in the pyramid is determined by the two entries below it. Can you figure out how the pyramid is generated?

What is the Question?
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What is the Question?

Age
5 to 11
The tasks in this feature encourage learners to become fluent with times tables, but with a difference...