Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

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25th August 2024

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 = 9.

  2. 2
    The Cosine Rule3 marks

    A triangle has sides 17 cm, 10 cm and 14 cm. Work out the angle opposite the 17 cm side, to 1 decimal place.

  3. 3
    Probability Equation Questions3 marks

    A bag holds 8 red and n blue counters. The probability of taking a red is 2/3. Work out n.

  4. 4
    Histograms3 marks

    A histogram has four 10-wide classes from 0, with frequency densities 1, 0.5, 2, 3. Which class contains the median?

  5. 5
    Bounds3 marks

    x = 118 and y = 52, each correct to the nearest whole number. Work out the upper bound of x - y.

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