Daily Practice · Higher Plus

Daily Practice - Higher Plus

4th April 1997

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

1
Histograms2 marks
On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 3. How many more values are in the wider class?
2
Surds3 marks
Rationalise the denominator of 24/sqrt(2), giving your answer in its simplest form.
3
Inverse and Composite Functions3 marks
f(x) = 5x - 8 and g(x) = 6x + 8. Work out fg(3).
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 6 m/s to 20 m/s over 4 seconds. Use the area under the velocity-time graph to find the distance travelled.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 12 cm by 12 cm by 10 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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