Daily Practice

Higher Plus

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14th September 1990

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

  1. 1
    Histograms3 marks

    A histogram has two bars: one 10 units wide with frequency density 0.4, one 10 units wide with density 0.8. How many values in total?

  2. 2
    Surds3 marks

    Rationalise the denominator of 12/sqrt(3), giving your answer in its simplest form.

  3. 3
    Algebraic Fractions3 marks

    Write 3/(x - 2) + 7/(x - 1) as a single fraction.

  4. 4
    Velocity Time Graphs2 marks

    On a velocity-time graph a car speeds up in a straight line from 0 m/s to 4 m/s over 8 seconds. Work out the acceleration.

  5. 5
    3d Pythagoras and Trigonometry3 marks

    A cuboid measures 7 cm by 9 cm by 12 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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