Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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11th June 2010

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

  1. 1
    3d Pythagoras and Trigonometry3 marks

    A cuboid measures 9 cm by 11 cm by 11 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 4 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

  3. 3
    Histograms2 marks

    On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 1.5. How many more values are in the wider class?

  4. 4
    Surds3 marks

    Rationalise the denominator of 20/sqrt(5), giving your answer in its simplest form.

  5. 5
    Transforming Graphs y=f(x)3 marks

    The point (-1, -3) lies on y = f(x). Write down its image on y = f(x) + 3.

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