Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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29th September 2019

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

  1. 1
    Probability Equation Questions3 marks

    A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 1/7. Work out r.

  2. 2
    Histograms3 marks

    A histogram has four 10-wide classes from 0, with frequency densities 0.5, 3, 2, 1. Which class contains the median?

  3. 3
    Bounds3 marks

    x = 130 and y = 38, each correct to the nearest whole number. Work out the upper bound of x - y.

  4. 4
    Algebraic Fractions3 marks

    Simplify (x^2 + 5x - 14)/(x + 7).

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to sqrt(x). When x = 9, y = 15. Work out y when x = 4.

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