Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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7th November 1999

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

  1. 1
    Conditional Probability3 marks

    A bag holds 7 red, 7 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

  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

    x = 36 and y = 16, each correct to the nearest whole number. Work out the upper bound of x - y.

  4. 4
    The Nth Term of a Quadratic Sequence2 marks

    A quadratic sequence starts 1, 14, 35, 64. Work out the second difference, and the coefficient of n^2.

  5. 5
    Velocity Time Graphs2 marks

    A train slows steadily from 19 m/s to rest in 5 seconds. Work out its deceleration.

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