Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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21st May 2025

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

  1. 1
    Trigonometric and Exponential Graphs2 marks

    The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 90.

  2. 2
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^2. When x = 3, y = 36. Work out the positive value of x when y = 196.

  3. 3
    Vectors Proof Questions3 marks

    In a vector proof you find that vector PQ = 3a - 4b and vector RS = 6a - 8b. What does this show about PQ and RS?

  4. 4
    Probability Equation Questions3 marks

    The probability of winning a game is 1/5. A player expects 15 wins. How many games did they play?

  5. 5
    Histograms3 marks

    A histogram has two bars: one 20 units wide with frequency density 2, one 10 units wide with density 3.5. How many values in total?

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