Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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14th April 2019

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

  1. 1
    Probability Equation Questions3 marks

    A bag holds 2 red and n blue counters. The probability of taking a red is 1/3. Work out n.

  2. 2
    Histograms3 marks

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

  3. 3
    Bounds3 marks

    x = 95 and y = 42, each correct to the nearest whole number. Work out the upper bound of x - y.

  4. 4
    Quadratic Simultaneous Equations3 marks

    Solve x^2 + y^2 = 225 and y = x + 3 simultaneously.

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to sqrt(x). When x = 25, y = 15. Work out y when x = 64.

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