Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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15th June 2014

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

  1. 1
    Conditional Probability3 marks

    A bag holds 4 red and 6 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

  2. 2
    Histograms3 marks

    A histogram has four 20-wide classes from 0, with frequency densities 3, 2, 1, 0.5. Which class contains the median?

  3. 3
    Bounds3 marks

    x = 162 and y = 49, each correct to the nearest whole number. Work out the upper bound of x - y.

  4. 4
    Proof2 marks

    In an algebraic proof, how would you write two consecutive odd numbers in terms of an integer n?

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is inversely proportional to x^2. When x = 2, y = 75. Work out y when x = 5.

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