Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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20th May 2025

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

  1. 1
    Surds3 marks

    Expand and simplify (6 + sqrt(10))(6 - sqrt(10)).

  2. 2
    Transforming Graphs y=f(x)3 marks

    The point (5, 2) lies on y = f(x). Write down its image on y = f(-x).

  3. 3
    Direct and Inverse Proportion Depth3 marks

    y is inversely proportional to x^2. When x = 4, y = 72. Work out y when x = 6.

  4. 4
    Finding the Area of Any Triangle3 marks

    A triangle has sides of 12 cm and 12 cm and an area of 72.00 cm^2. Work out the acute angle between those two sides, to the nearest degree.

  5. 5
    Probability Equation Questions3 marks

    A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 1/11. Work out r.

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