Daily Practice · Higher Plus

Daily Practice - Higher Plus

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15th April 1995

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

  1. 1
    Histograms2 marks

    On a histogram, a 5-wide bar and a 20-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 170 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
    Proof3 marks

    Prove that the sum of 7 consecutive integers is always a multiple of 7. State the simplified sum you would use.

  4. 4
    Velocity Time Graphs3 marks

    A cyclist speeds up steadily from 8 m/s to 14 m/s over 12 seconds. Use the area under the velocity-time graph to find the distance travelled.

  5. 5
    3d Pythagoras and Trigonometry3 marks

    A cuboid measures 9 cm by 11 cm by 7 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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