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Brainteasers

Five friends

Amy, Bashir, Charles, Daisy and Eve are friends.

Amy is older than Bashir but younger than Charles.

Daisy is older than Eve but younger than Amy.

Which of the friends is the oldest?

Party hats

Jan is making party hats shaped like hollow cones.

To make the hats she takes a circle made from card, centre O. She cuts out the shaded sector, so that angle XOY is a right angle and the length of the arc XY is 2p.

What is the area of the shaded sector that Jan cuts out?

SOLUTIONS Five friends (age 6 to 8) Charles is the oldest.

Party hats (age 11 to 14) The area of the shaded part of the circle (a quadrant) is 4p

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