Mathematics
Grey Kangaroo
2023
18

18

Snow White organised a chess competition for the seven dwarves, in which each dwarf played one game with every other dwarf. On Monday, Grumpy played 1 game, Sneezy played 2, Sleepy 3, Bashful 4, Happy 5 and Doc played 6 games. How many games did Dopey play on Monday?

A 1 B 2 C 3 D 4 E 5

Answer

C

SOLUTIOn

All the following arguments refer to the games played on Monday. Doc played 6 games and so played all the other dwarves. Therefore, Grumpy’s game was against Doc. Similarly, since Happy played 5 games and didn’t play against Grumpy and Sneezy only played two, Sneezy’s games were against Happy and Doc. Bashful played 4 games and didn’t play against Grumpy or Sneezy and Sleepy only played three games and so Sleepy’s games were against Doc, Happy and Bashful. Therefore Dopey played against Doc, Happy and Bashful so played 3 games.

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FAQ

Find quick answers to common questions about our lessons, pricing, scheduling, and how Exact Science can help your child excel.
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We hold our classes online or on-site on Saturdays at our branch in Pimlico Academy, London.
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What do you need to start learning online?
For lessons you only need a computer or phone with a microphone, camera and Internet access. Wherever you are - in London, Nottingham, New York or Bali - online lessons will be at hand.
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What should I expect from the trial lesson?
The trial lesson is a 30-minute online session designed to get a sense of how your child approaches mathematical thinking and problem solving. (In practice, it often runs a bit longer if the student is engaged!)

We typically explore a range of fun and challenging problems drawn from competitions. We adapt the difficulty based on how the student responds, aiming to make it both accessible and stimulating.

After the session, we’ll have a quick conversation with the parent to share observations and suggest a personalised path forward.
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