Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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18th December 2014

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

  1. 1
    Conditional Probability3 marks

    A bag holds 4 red, 6 blue and 3 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 20 < x <= 30 has a frequency density of 1.2. How many values are in that class?

  3. 3
    Surds3 marks

    Simplify sqrt(80) + sqrt(125), giving your answer in the form a sqrt(b).

  4. 4
    Completing the Square3 marks

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

  5. 5
    Velocity Time Graphs2 marks

    A train slows steadily from 40 m/s to rest in 4 seconds. Work out its deceleration.

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