2 out of 3
What could be the scores from five throws of this dice?
2 out of 3
In the diagram, the number in each box is obtained by adding the two immediately below. What is the number in the top box?
2 out of 3
Each interior angle in a quadrilateral (apart from the smallest) is twice the previous one. What is the size of the smallest interior angle?
2 out of 3
Grannie's watch gains 30 minutes every hour, whilst Grandpa's watch loses 30 minutes every hour. What is the correct time when their watches next agree?
3 out of 3
Knights always tell the truth. Knaves always lie. Can you catch these knights and knaves out?
2 out of 3
What is the area of the triangle formed by these three lines?
1 out of 3
Can you find the area of the overlap when these two beer mats are placed on top of each other?
2 out of 3
Weekly Problem 41 - 2014
Three straight lines divide an equilateral triangle into seven regions. What is the side length of the original triangle?
2 out of 3
Three faces of a $3 \times 3$ cube are painted red, and the other three are painted blue. How many of the 27 smaller cubes have at least one red and at least one blue face?
2 out of 3
If the area of a face of a cuboid is one quarter of the area of each of the other two visible faces, what is the area of these faces?
