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Higher Plus

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22nd August 1958

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

  1. 1
    Surds3 marks

    Rationalise the denominator of 18/sqrt(3), giving your answer in its simplest form.

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

    The point (1, 2) lies on y = f(x). Write down its image on y = f(x) + 2.

  3. 3
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^3. When x = 2, y = 48. Work out y when x = 5.

  4. 4
    The Cosine Rule3 marks

    A triangle has sides 10 cm, 6 cm and 9 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.

  5. 5
    Probability Equation Questions3 marks

    A bag holds 3 red and n blue counters. The probability of taking a red is 3/10. Work out n.

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