Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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14th May 2021

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

  1. 1
    3d Pythagoras and Trigonometry3 marks

    A cuboid measures 6 cm by 9 cm by 9 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

  2. 2
    Conditional Probability3 marks

    A bag holds 4 red and 6 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

  3. 3
    Histograms3 marks

    A histogram has two bars: one 20 units wide with frequency density 2, one 20 units wide with density 3.5. How many values in total?

  4. 4
    Surds3 marks

    Rationalise the denominator of 66/sqrt(11), giving your answer in its simplest form.

  5. 5
    Inverse and Composite Functions3 marks

    f(x) = 4x + 8 and g(x) = 2x + 1. Work out fg(-2).

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