Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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14th March 2010

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

  1. 1
    Conditional Probability3 marks

    A bag holds 5 red, 3 blue and 3 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 2.4. How many values are in that class?

  3. 3
    Bounds3 marks

    x = 82 and y = 5, each correct to the nearest whole number. Work out the upper bound of x - y.

  4. 4
    Quadratic Inequalities3 marks

    Solve x^2 - 4x - 5 > 0.

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^3. When x = 3, y = 81. Work out y when x = 4.

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