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14th December 1996

5 questions · 13 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 = 6, y = 324. Work out y when x = 8.

  2. 2
    Similar Shapes (Area and Volume)3 marks

    Two similar shapes have lengths in the ratio 1 : 3. The smaller has an area of 19 cm^2. Work out the area of the larger.

  3. 3
    Conditional Probability3 marks

    10 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

  4. 4
    Box Plots2 marks

    A box plot has minimum 5, lower quartile 10, median 17, upper quartile 27 and maximum 37. Work out the interquartile range.

  5. 5
    Surds2 marks

    Write sqrt(72) in the form a sqrt(b), where b is as small as possible.

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