Daily Practice

Higher Plus

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19th March 1982

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

  1. 1
    Surds3 marks

    Rationalise the denominator of 24/sqrt(3), giving your answer in its simplest form.

  2. 2
    Completing the Square3 marks

    Work out the coordinates of the turning point of y = x^2 + 4x - 11.

  3. 3
    Direct and Inverse Proportion Depth3 marks

    y is inversely proportional to x^2. When x = 3, y = 144. Work out y when x = 6.

  4. 4
    The Cosine Rule3 marks

    A triangle has sides 14 cm, 6 cm and 10 cm. Work out the angle opposite the 14 cm side, to 1 decimal place.

  5. 5
    Probability Equation Questions3 marks

    A bag holds 8 red and n blue counters. The probability of taking a red is 8/13. Work out n.

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