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Ladder and Cube
A 1 metre cube has one face on the ground and one face against a wall. A 4 metre ladder leans against the wall and just touches the cube. How high is the top of the ladder above the ground?
Doesn't Add Up
In this problem we are faced with an apparently easy area problem, but it has gone horribly wrong! What happened?
From All Corners
Straight lines are drawn from each corner of a square to the mid points of the opposite sides. Express the area of the octagon that is formed at the centre as a fraction of the area of the square.
Age 14 to 16
Challenge Level
If Kyle scored 75% on section A, how many questions might there have been?
How many did he get right in each case?
In section B, he scored 35%, how many questions might there have been?
How many did he get right in each case?
Do any of your examples give a total score of 55% when you add together Kyle's marks for the two sections?
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NRICH is part of the family of activities in the Millennium Mathematics Project.
NRICH is part of the family of activities in the Millennium Mathematics Project.