1 out of 3
Is it possible to find the angles in this rather special isosceles triangle?
2 out of 3
Two ladders are propped up against facing walls. At what height do the ladders cross?
2 out of 3
What is the largest number which, when divided into these five numbers in turn, leaves the same remainder each time?
2 out of 3
A mother wants to share some money by giving each child in turn a lump sum plus a fraction of the remainder. How can she do this to share the money out equally?
2 out of 3
Take any prime number greater than 3 , square it and subtract one. Working on the building blocks will help you to explain what is special about your results.
2 out of 3
Chris and Jo put two red and four blue ribbons in a box. They each pick a ribbon from the box without looking. Jo wins if the two ribbons are the same colour. Is the game fair?
2 out of 3
The area of a square inscribed in a circle with a unit radius is 2. What is the area of these other regular polygons inscribed in a circle with a unit radius?
2 out of 3
The sums of the squares of three related numbers is also a perfect square - can you explain why?
2 out of 3
A spider is sitting in the middle of one of the smallest walls in a room and a fly is resting beside the window. What is the shortest distance the spider would have to crawl to catch the fly?
2 out of 3
Can you find the area of a parallelogram defined by two vectors?
