Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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12th November 2007

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

  1. 1
    Vectors Proof Questions3 marks

    In a vector proof you find that vector PQ = 4a + 5b and vector RS = 16a + 20b. What does this show about PQ and RS?

  2. 2
    Probability Equation Questions3 marks

    The probability of winning a game is 7/8. A player expects 28 wins. How many games did they play?

  3. 3
    Histograms3 marks

    A histogram has two bars: one 5 units wide with frequency density 1.2, one 10 units wide with density 3.5. How many values in total?

  4. 4
    Bounds3 marks

    A block has mass 880 g (to the nearest 10 g) and volume 7 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

  5. 5
    Inverse and Composite Functions3 marks

    f(x) = 2x + 2. Work out the inverse function f^-1(x).

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