Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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16th May 2024

5 questions · 14 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 - b and vector RS = 25a - 5b. What does this show about PQ and RS?

  2. 2
    Probability Equation Questions3 marks

    The probability of winning a game is 3/10. A player expects 24 wins. How many games did they play?

  3. 3
    Histograms2 marks

    On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 2. How many more values are in the wider class?

  4. 4
    Surds3 marks

    Simplify sqrt(72) + sqrt(50), giving your answer in the form a sqrt(b).

  5. 5
    Iteration3 marks

    Use the iteration x(n+1) = cube root of (8x(n) + 4) with x(0) = 3. Work out x(1) to 3 decimal places.

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