Daily Practice · Higher Plus

Daily Practice - Higher Plus

11th March 1997

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

1
Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 3. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (5 + sqrt(3))(5 - sqrt(3)).
3
Iteration3 marks
Use the iteration x(n+1) = cube root of (3x(n) + 9) with x(0) = 3. Work out x(1) to 3 decimal places.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 9 m/s to 13 m/s over 6 seconds. Use the area under the velocity-time graph to find the distance travelled.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 14 cm by 11 cm by 8 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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