List

Year 11 Conjecturing and Generalising

How old am I?
problem
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How old am I?

Age
14 to 16
Challenge level
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In 15 years' time my age will be the square of my age 15 years ago. Can you work out my age, and when I had other special birthdays?
Beelines
problem
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Beelines

Age
14 to 16
Challenge level
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Is there a relationship between the coordinates of the endpoints of a line and the number of grid squares it crosses?
Multiplication arithmagons
problem
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Multiplication arithmagons

Age
14 to 16
Challenge level
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Can you find the values at the vertices when you know the values on the edges of these multiplication arithmagons?

Difference of Two Squares
problem
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Difference of Two Squares

Age
14 to 16
Challenge level
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What is special about the difference between squares of numbers adjacent to multiples of three?
Square Number Surprises
problem
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Square Number Surprises

Age
14 to 16
Challenge level
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There are unexpected discoveries to be made about square numbers...
Which is bigger?
problem
Favourite

Which is bigger?

Age
14 to 16
Challenge level
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Which is bigger, n+10 or 2n+3? Can you find a good method of answering similar questions?