Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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3rd May 2023

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 = 49, y = 35. Work out y when x = 81.

  2. 2
    The Cosine Rule3 marks

    A triangle has sides 15 cm, 16 cm and 14 cm. Work out the angle opposite the 15 cm side, to 1 decimal place.

  3. 3
    Probability Equation Questions3 marks

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

  4. 4
    Histograms3 marks

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

  5. 5
    Bounds3 marks

    A rectangle is 23 cm by 11 cm, each correct to the nearest cm. Work out the upper bound of its area.

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