Daily Practice · Higher Plus

Daily Practice - Higher Plus

3rd September 1991

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 2.5. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (4 + sqrt(11))(4 - sqrt(11)).
3
Inverse and Composite Functions3 marks
f(x) = 4x - 1 and g(x) = 4x - 7. Work out fg(-1).
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 2 m/s to 10 m/s over 10 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 9 cm by 11 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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