Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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30th March 2023

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

  1. 1
    Conditional Probability3 marks

    A bag holds 3 red and 9 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

  2. 2
    Histograms3 marks

    On a histogram the bar for 20 < x <= 40 has a frequency density of 3.5. How many values are in that class?

  3. 3
    Surds3 marks

    Simplify sqrt(20) + sqrt(45), giving your answer in the form a sqrt(b).

  4. 4
    Transforming Graphs y=f(x)3 marks

    The point (5, 0) lies on y = f(x). Write down its image on y = -f(x).

  5. 5
    Velocity Time Graphs2 marks

    A train slows steadily from 32 m/s to rest in 5 seconds. Work out its deceleration.

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