Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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28th July 2016

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

  1. 1
    Probability Equation Questions3 marks

    A bag holds 6 red and n blue counters. The probability of taking a red is 1/2. Work out n.

  2. 2
    Histograms3 marks

    On a histogram the bar for 10 < x <= 30 has a frequency density of 3.5. How many values are in that class?

  3. 3
    Surds3 marks

    Simplify sqrt(45) + sqrt(245), giving your answer in the form a sqrt(b).

  4. 4
    Inverse and Composite Functions3 marks

    f(x) = 3x + 6 and g(x) = 6x + 3. Work out fg(5).

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^3. When x = 2, y = 40. Work out y when x = 5.

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