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Higher

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21st July 1990

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

  1. 1
    Probability Trees3 marks

    5 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

  2. 2
    Box Plots2 marks

    A box plot has minimum 14, lower quartile 20, median 22, upper quartile 24 and maximum 29. Work out the interquartile range.

  3. 3
    Fractional and Negative Indices3 marks

    Work out 25^(3/2).

  4. 4
    Trigonometric and Exponential Graphs2 marks

    The curve y = 4^x is drawn. Work out y when x = 4, and write down where the curve crosses the y-axis.

  5. 5
    Direct and Inverse Proportion Depth3 marks

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

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