Daily Practice

Higher Plus

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15th November 1959

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

  1. 1
    Bounds3 marks

    x = 130 and y = 37, each correct to the nearest whole number. Work out the upper bound of x - y.

  2. 2
    Completing the Square3 marks

    Work out the coordinates of the turning point of y = x^2 - 4x - 12.

  3. 3
    Direct and Inverse Proportion Depth3 marks

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

  4. 4
    The Cosine Rule3 marks

    A triangle has sides 19 cm, 14 cm and 14 cm. Work out the angle opposite the 19 cm side, to 1 decimal place.

  5. 5
    Probability Equation Questions3 marks

    A bag holds 7 red and n blue counters. The probability of taking a red is 7/9. Work out n.

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