Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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26th December 2015

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

  1. 1
    Histograms2 marks

    On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 2. How many more values are in the wider class?

  2. 2
    Bounds3 marks

    A car covers 490 m (to the nearest 10 m) in 8 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.

  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 Graphs3 marks

    A cyclist speeds up steadily from 10 m/s to 29 m/s over 8 seconds. Use the area under the velocity-time graph to find the distance travelled.

  5. 5
    3d Pythagoras and Trigonometry3 marks

    A cuboid measures 3 cm by 11 cm by 14 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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