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The Handshake Puzzle

Six friends meet at a party. Each person shakes hands once with every other person. How many handshakes are there altogether?

The Best Value Yoghurts

Question: A shop sells yoghurts in three different packs: Pack A: 6 yoghurts for £2.10 Pack B: 8 yoghurts for £2.96 Pack C: 10 yoghurts for £3.40 How much cheaper is one yoghurt in the best value pack than one yoghurt in the worst value pack?

Reading the Map

A map has a scale of 1 : 50 000. On the map, two villages are7  cm apart. What is the real distance between the villages?

Filling the fish tank

A fish tank is shaped like a cuboid. It is 30 cm long, 20 cm wide and 25 cm tall. Sam fills it using a jug that holds 2 litres. How many full jugs of water does Sam need to pour in before the tank is completely full?

Marbles in a Bag

A bag contains 4 red marbles, 6 blue marbles and some green marbles. A marble is picked at random. The probability that it is blue is 1/3. How many green marbles are in the bag?

The Two Buses

Two buses leave the bus station at 9:00 am. The red bus leaves every 12 minutes and the blue bus leaves every 18 minutes. When is the next time both buses leave the station together?

The Missing Corner

A rectangle measures 10 cm by 8 cm. A square with sides of 3 cm is cut out of one corner. What is the perimeter of the shape that is left?