Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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31st May 2022

5 questions · 12 marks · Grades 8-9 · 51 question types in this band

  1. 1
    Proof2 marks

    In an algebraic proof, how would you write the next even number after 2n in terms of an integer n?

  2. 2
    Velocity Time Graphs3 marks

    A tram runs at 14 m/s for 30 s, then slows steadily to rest over 4 s. Work out its average speed for the whole journey, to 2 decimal places.

  3. 3
    Proof of the Circle Theorems2 marks

    In a circle theorem proof, a step uses the fact that the angle in a semicircle is being proved. State the reason being quoted.

  4. 4
    Probability Equation Questions3 marks

    A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 1/15. Work out r.

  5. 5
    Histograms2 marks

    On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 2. How many more values are in the wider class?

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