Daily Practice

Higher Plus

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18th March 1967

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

  1. 1
    Probability Equation Questions3 marks

    A bag holds 3 red and n blue counters. The probability of taking a red is 3/11. Work out n.

  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 car covers 160 m (to the nearest 10 m) in 9 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.

  4. 4
    Completing the Square3 marks

    Write x^2 + 12x - 6 in the form (x + a)^2 + b.

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is inversely proportional to x^2. When x = 3, y = 4. Work out y when x = 2.

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