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Maths Challenge
 
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Weekly Maths Challenge

Mrs J Cole, HOD Mathematics —

  1. A rectangular park measures 80 metres by 60 metres. Instead of walking along the two edges to get from one corner to the diagonally opposite corner, a student decides to walk straight across the grass in a diagonal line.

    How many metres does the student save by taking the diagonal path? (Hint: Remember your friend Pythagoras!)

  2. Find the next two numbers in this sequence: 1, 1, 2, 3, 5, 8, 13, ...

    What is the name of this famous mathematical sequence often found in nature?

  3. You and a friend order a pizza cut into 8 equal slices. You randomly pick two slices.

    If 3 of the slices have pepperoni and 5 are plain cheese, what is the probability (as a fraction) that both slices you pick are pepperoni?

  4. A submarine is at an elevation of -150 metres (150 metres below sea level). It descends another 75 metres, then rises 110 metres to avoid a coral reef.

    What is the submarine’s final elevation?