Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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27th May 2011

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

  1. 1
    Histograms3 marks

    A histogram has two bars: one 20 units wide with frequency density 2, one 5 units wide with density 0.6. How many values in total?

  2. 2
    Surds3 marks

    Rationalise the denominator of 21/sqrt(7), giving your answer in its simplest form.

  3. 3
    Inverse and Composite Functions3 marks

    f(x) = 3x + 7. Work out the inverse function f^-1(x).

  4. 4
    Velocity Time Graphs2 marks

    On a velocity-time graph a car speeds up in a straight line from 5 m/s to 30 m/s over 10 seconds. Work out the acceleration.

  5. 5
    3d Pythagoras and Trigonometry3 marks

    A cuboid measures 12 cm by 11 cm by 11 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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