Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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13th August 2019

5 questions · 13 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 2.5, one 20 units wide with density 3. How many values in total?

  2. 2
    Surds3 marks

    Expand and simplify (6 + sqrt(5))(6 - sqrt(5)).

  3. 3
    Trigonometric and Exponential Graphs2 marks

    The curve y = sin x° is drawn for 0 <= x <= 360. Write down the value of y when x = 360.

  4. 4
    Velocity Time Graphs2 marks

    On a velocity-time graph a car speeds up in a straight line from 4 m/s to 64 m/s over 20 seconds. Work out the acceleration.

  5. 5
    3d Pythagoras and Trigonometry3 marks

    A cuboid measures 14 cm by 13 cm by 14 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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