Daily Practice

Higher Plus

9th June 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
Rationalise the denominator of 6/sqrt(2), giving your answer in its simplest form.
3
Inverse and Composite Functions3 marks
f(x) = 6x + 9 and g(x) = 6x + 8. Work out fg(5).
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 7 m/s to 13 m/s over 8 seconds. Use the area under the velocity-time graph to find the distance travelled.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 2a - 6b and vector RS = 6a - 18b. What does this show about PQ and RS?

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