Daily Practice

Higher Plus

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3rd June 1971

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

  1. 1
    Surds3 marks

    Simplify sqrt(48) + sqrt(3), giving your answer in the form a sqrt(b).

  2. 2
    Inverse and Composite Functions3 marks

    f(x) = 8x - 9. Work out the inverse function f^-1(x).

  3. 3
    Velocity Time Graphs2 marks

    A train slows steadily from 16 m/s to rest in 8 seconds. Work out its deceleration.

  4. 4
    Finding the Area of Any Triangle3 marks

    A triangle has sides of 8 cm and 10 cm and an area of 20.00 cm^2. Work out the acute angle between those two sides, to the nearest degree.

  5. 5
    Probability Equation Questions3 marks

    A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 5/18. Work out r.

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