A Square in a Circle
What shape has Harry drawn on this clock face? Can you find its area? What is the largest number of square tiles that could cover this area?
What shape has Harry drawn on this clock face? Can you find its area? What is the largest number of square tiles that could cover this area?
I am thinking of three sets of numbers less than 101. They are the red set, the green set and the blue set. Can you find all the numbers in the sets from these clues?
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
Can you predict when you'll be clapping and when you'll be clicking if you start this rhythm? How about when a friend begins a new rhythm at the same time?
Can you find the area of a parallelogram defined by two vectors?
Two ladders are propped up against facing walls. At what height do the ladders cross?
The ancient Egyptians were said to make right-angled triangles using a rope with twelve equal sections divided by knots. What other triangles could you make if you had a rope like this?
Libby Jared helped to set up NRICH and this is one of her favourite problems. It's a problem suitable for a wide age range and best tackled practically.