Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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10th July 2025

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 = 4a + 3b and vector RS = 8a + 6b. What does this show about PQ and RS?

  2. 2
    Probability Equation Questions3 marks

    The probability of winning a game is 3/5. A player expects 24 wins. How many games did they play?

  3. 3
    Histograms2 marks

    On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 1.5. How many more values are in the wider class?

  4. 4
    Surds3 marks

    Simplify sqrt(27) + sqrt(147), giving your answer in the form a sqrt(b).

  5. 5
    Transforming Graphs y=f(x)3 marks

    The point (3, 6) lies on y = f(x). Write down its image on y = f(x + 3).

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