Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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6th December 2006

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) = 6/11. Work out r.

  2. 2
    Histograms3 marks

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

  3. 3
    Bounds3 marks

    A rectangle is 15 cm by 29 cm, each correct to the nearest cm. Work out the upper bound of its area.

  4. 4
    Rearranging Harder Formulae3 marks

    Make x the subject of 4x + 5 = y(x + 5).

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to sqrt(x). When x = 49, y = 14. Work out y when x = 4.

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