Daily Practice · Higher Plus

Daily Practice - Higher Plus

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19th May 1997

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

  1. 1
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to sqrt(x). When x = 16, y = 24. Work out y when x = 25.

  2. 2
    The Cosine Rule3 marks

    A triangle has sides 8 cm, 9 cm and 7 cm. Work out the angle opposite the 8 cm side, to 1 decimal place.

  3. 3
    Probability Equation Questions3 marks

    A bag holds 4 red and n blue counters. The probability of taking a red is 1/3. Work out n.

  4. 4
    Histograms3 marks

    A histogram has four 20-wide classes from 0, with frequency densities 2, 3, 1, 0.5. Which class contains the median?

  5. 5
    Bounds3 marks

    A block has mass 500 g (to the nearest 10 g) and volume 24 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

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