Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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22nd November 2020

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

  1. 1
    Probability Equation Questions3 marks

    A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 5/33. Work out r.

  2. 2
    Histograms3 marks

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

  3. 3
    Bounds3 marks

    x = 57 and y = 27, each correct to the nearest whole number. Work out the upper bound of x - y.

  4. 4
    Rearranging Harder Formulae3 marks

    Make x the subject of 2x + 2 = y(x + 2).

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is inversely proportional to x^2. When x = 4, y = 108. Work out y when x = 6.

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