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Higher Plus

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5th April 1975

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

  1. 1
    Probability Equation Questions3 marks

    A bag holds 4 red and n blue counters. The probability of taking a red is 4/9. Work out n.

  2. 2
    Histograms3 marks

    A histogram has four 10-wide classes from 0, with frequency densities 3, 1, 2, 0.5. Which class contains the median?

  3. 3
    Bounds3 marks

    A car covers 430 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
    Trigonometric and Exponential Graphs2 marks

    The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 270.

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to sqrt(x). When x = 49, y = 28. Work out y when x = 25.

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