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Top-Heavy Pyramids
Use the numbers in the box below to make the base of a top-heavy pyramid whose top number is 200.
Russian Cubes
I want some cubes painted with three blue faces and three red faces. How many different cubes can be painted like that?
Impossible Sums
Which numbers cannot be written as the sum of two or more consecutive numbers?
So It's Times!
How will you decide which way of flipping over and/or turning the grid will give you the highest total?
Napoleon's Theorem
Triangle ABC has equilateral triangles drawn on its edges. Points P, Q and R are the centres of the equilateral triangles. What can you prove about the triangle PQR?
Retiring to Paradise
When Charlie retires, he's looking forward to the quiet life, whereas Alison wants a busy and exciting retirement. Can you advise them on where they should go?
Polar Flower
This polar equation is a quadratic. Plot the graph given by each factor to draw the flower.