Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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21st August 2024

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

  1. 1
    Conditional Probability3 marks

    A bag holds 7 red and 3 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, 1, 0.5, 2. Which class contains the median?

  3. 3
    Bounds3 marks

    A rectangle is 14 cm by 19 cm, each correct to the nearest cm. Work out the upper bound of its area.

  4. 4
    Transforming Graphs y=f(x)3 marks

    The point (-1, -2) lies on y = f(x). Write down its image on y = f(x) - 2.

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is inversely proportional to x^2. When x = 5, y = 64. Work out y when x = 4.

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