Daily Practice

Higher Plus

16th May 1989

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 12-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (4 + sqrt(6))(4 - sqrt(6)).
3
Iteration3 marks
Use the iteration x(n+1) = cube root of (11x(n) + 9) with x(0) = 1. Work out x(1) to 3 decimal places.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 3 m/s to 8 m/s over 8 seconds. Use the area under the velocity-time graph to find the distance travelled.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 4 cm by 7 cm by 4 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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