Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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24th April 2022

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

  1. 1
    Bounds3 marks

    x = 80 and y = 50, each correct to the nearest whole number. Work out the upper bound of x - y.

  2. 2
    Transforming Graphs y=f(x)3 marks

    The point (-6, 0) lies on y = f(x). Write down its image on y = -f(x).

  3. 3
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^3. When x = 2, y = 16. Work out y when x = 4.

  4. 4
    The Sine Rule3 marks

    In triangle ABC, angle A is 48°, side a is 17 cm and side b is 4 cm. Work out the acute angle B, to 1 decimal place.

  5. 5
    Conditional Probability3 marks

    A bag holds 10 red and 3 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

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