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27th March 1982

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 = 175. Work out y when x = 8.

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

    Two similar shapes have lengths in the ratio 1 : 4. The smaller has an area of 24 cm^2. Work out the area of the larger.

  3. 3
    Conditional Probability3 marks

    9 students study Spanish and 4 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 8, lower quartile 14, median 24, upper quartile 31 and maximum 33. Work out the interquartile range.

  5. 5
    Reverse Percentages3 marks

    A bill is £888 including VAT at 20%. Work out the amount before VAT.

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