Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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18th September 2006

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 = 5a - 6b and vector RS = 20a - 24b. What does this show about PQ and RS?

  2. 2
    Probability Equation Questions3 marks

    The probability of winning a game is 1/2. A player expects 22 wins. How many games did they play?

  3. 3
    Histograms3 marks

    A histogram has two bars: one 20 units wide with frequency density 1.5, one 5 units wide with density 0.6. How many values in total?

  4. 4
    Bounds3 marks

    A block has mass 580 g (to the nearest 10 g) and volume 19 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

  5. 5
    Algebraic Fractions3 marks

    Write 4/(x - 6) + 5/(x - 5) as a single fraction.

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