Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

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10th June 2016

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

  1. 1
    Conditional Probability3 marks

    A bag holds 7 red, 4 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

  2. 2
    Histograms3 marks

    On a histogram the bar for 20 < x <= 25 has a frequency density of 1.2. How many values are in that class?

  3. 3
    Surds3 marks

    Rationalise the denominator of 14/sqrt(2), giving your answer in its simplest form.

  4. 4
    Algebraic Fractions3 marks

    Write 6/(x - 2) + 6/(x - 4) as a single fraction.

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^3. When x = 2, y = 16. Work out y when x = 4.

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