Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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29th May 2014

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

  1. 1
    Histograms2 marks

    On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 1.5. How many more values are in the wider class?

  2. 2
    Surds3 marks

    Simplify sqrt(75) + sqrt(12), giving your answer in the form a sqrt(b).

  3. 3
    Proof2 marks

    In an algebraic proof, how would you write three consecutive even numbers in terms of an integer n?

  4. 4
    Velocity Time Graphs3 marks

    A cyclist speeds up steadily from 6 m/s to 22 m/s over 4 seconds. Use the area under the velocity-time graph to find the distance travelled.

  5. 5
    Vectors Proof Questions3 marks

    In a vector proof you find that vector PQ = 3a - 5b and vector RS = 9a - 15b. What does this show about PQ and RS?

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