Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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21st January 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 = 2a - 4b and vector RS = 4a - 8b. What does this show about PQ and RS?

  2. 2
    Probability Equation Questions3 marks

    The probability of winning a game is 3/4. A player expects 78 wins. How many games did they play?

  3. 3
    Histograms3 marks

    A histogram has two bars: one 10 units wide with frequency density 1.5, one 25 units wide with density 0.6. How many values in total?

  4. 4
    Bounds3 marks

    A car covers 190 m (to the nearest 10 m) in 3 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.

  5. 5
    Quadratic Inequalities3 marks

    Solve x^2 + 11x + 28 < 0.

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