List

Year 11 Conjecturing and Generalising

How old am I?
problem

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

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?
Which is bigger?
problem

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?
Multiplication arithmagons
problem

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

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

Square Number Surprises

Age
14 to 16
Challenge level
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There are unexpected discoveries to be made about square numbers...