Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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14th July 2011

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

  1. 1
    Histograms3 marks

    A histogram has two bars: one 20 units wide with frequency density 1.2, one 5 units wide with density 0.8. How many values in total?

  2. 2
    Surds3 marks

    Simplify sqrt(8) + sqrt(32), giving your answer in the form a sqrt(b).

  3. 3
    The Nth Term of a Quadratic Sequence2 marks

    A quadratic sequence starts 9, 12, 17, 24. Work out the second difference, and the coefficient of n^2.

  4. 4
    Velocity Time Graphs2 marks

    On a velocity-time graph a car speeds up in a straight line from 0 m/s to 5 m/s over 10 seconds. Work out the acceleration.

  5. 5
    Vectors Proof Questions3 marks

    In a vector proof you find that vector PQ = 2a + 5b and vector RS = 4a + 10b. What does this show about PQ and RS?

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