Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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1st May 2010

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

  1. 1
    Probability Equation Questions3 marks

    A bag holds 2 red and n blue counters. The probability of taking a red is 1/4. Work out n.

  2. 2
    Histograms3 marks

    On a histogram the bar for 0 < x <= 10 has a frequency density of 1.5. How many values are in that class?

  3. 3
    Bounds3 marks

    A car covers 150 m (to the nearest 10 m) in 7 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.

  4. 4
    Inverse and Composite Functions3 marks

    f(x) = 2x - 4. Work out the inverse function f^-1(x).

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^3. When x = 3, y = 81. Work out y when x = 2.

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