Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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1st November 2024

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

  1. 1
    Probability Equation Questions3 marks

    A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 1/10. Work out r.

  2. 2
    Histograms3 marks

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

  3. 3
    Surds3 marks

    Rationalise the denominator of 21/sqrt(7), giving your answer in its simplest form.

  4. 4
    Factorising Harder Quadratics3 marks

    Solve 4x^2 - 9 = 0.

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is inversely proportional to x^2. When x = 2, y = 64. Work out y when x = 4.

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