Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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29th April 2014

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

  1. 1
    Histograms3 marks

    A histogram has two bars: one 10 units wide with frequency density 0.4, one 20 units wide with density 3. How many values in total?

  2. 2
    Surds3 marks

    Expand and simplify (9 + sqrt(10))(9 - sqrt(10)).

  3. 3
    The Nth Term of a Quadratic Sequence2 marks

    A quadratic sequence starts 0, 8, 22, 42. Work out the second difference, and the coefficient of n^2.

  4. 4
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^2. When x = 3, y = 18. Work out the positive value of x when y = 18.

  5. 5
    Vectors Proof Questions3 marks

    In a vector proof you find that vector PQ = 5a - 2b and vector RS = 15a - 6b. What does this show about PQ and RS?

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