Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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23rd February 2003

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 x^3. When x = 4, y = 384. Work out y when x = 3.

  2. 2
    The Sine Rule3 marks

    In triangle ABC, angle A is 41°, side a is 12 cm and side b is 9 cm. Work out the acute angle B, to 1 decimal place.

  3. 3
    Conditional Probability3 marks

    A bag holds 6 red and 8 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

  4. 4
    Histograms3 marks

    On a histogram the bar for 30 < x <= 50 has a frequency density of 1.5. How many values are in that class?

  5. 5
    Bounds3 marks

    x = 124 and y = 38, each correct to the nearest whole number. Work out the upper bound of x - y.

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