Daily Practice · Higher

Daily Practice - Higher

Grades 6-7 - Higher-tier method and manipulation.

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18th January 2003

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

  1. 1
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^2. When x = 5, y = 100. Work out y when x = 7.

  2. 2
    Spheres and Cones3 marks

    A sphere has radius 18 cm. Work out its volume, leaving your answer in terms of pi.

  3. 3
    Probability Trees3 marks

    8 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

  4. 4
    Box Plots2 marks

    A box plot has minimum 15, lower quartile 19, median 27, upper quartile 31 and maximum 33. Work out the interquartile range.

  5. 5
    Standard Form3 marks

    Work out (45 x 10^9) / (9 x 10^5). Give your answer in standard form.

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