3 out of 3
The diagrams show squares placed inside semicircles. What is the ratio of the shaded areas?
3 out of 3
What does Pythagoras' Theorem tell you about the radius of these circles?
3 out of 3
Three circles of different radii each touch the other two. What can you deduce about the arc length between these points?
3 out of 3
How many 10-digit numbers containing only 1s, 2s and 3s can you write?
2 out of 3
The diagram shows four equal discs and a square. What is the perimeter of the figure?
2 out of 3
The white square slides once around the pink square. Through what distance does the point P on the white square move?
2 out of 3
One year there were exactly four Tuesdays and four Fridays in October. On what day of the week was Halloween.
3 out of 3
Weekly Problem 24 - 2017
What is the last digit of $3^{2011}$?
3 out of 3
From this sum of powers, can you find the sum of the indices?
2 out of 3
How much money did the Queen give away in pence as a power of 2?
