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23rd September 1995

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

  1. 1
    Conditional Probability3 marks

    20 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

  2. 2
    Box Plots2 marks

    A box plot has minimum 7, lower quartile 15, median 25, upper quartile 33 and maximum 39. Work out the interquartile range.

  3. 3
    Reverse Percentages3 marks

    A bill is £48 including VAT at 20%. Work out the amount before VAT.

  4. 4
    Quadratic Formula3 marks

    Work out the discriminant of 3x^2 - 2x + 1 = 0 and say how many real solutions it has.

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^2. When x = 5, y = 225. Work out y when x = 6.

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