Daily Practice · Higher

Daily Practice - Higher

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

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30th October 2021

5 questions · 12 marks · Grades 6-7 · 61 question types in this band

  1. 1
    Probability Trees3 marks

    1 of 10 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 4, lower quartile 6, median 9, upper quartile 15 and maximum 21. Work out the interquartile range.

  3. 3
    Surds2 marks

    Write sqrt(27) in the form a sqrt(b), where b is as small as possible.

  4. 4
    Trigonometric and Exponential Graphs2 marks

    The curve y = 5^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 = 4, y = 112. Work out y when x = 3.

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