Daily Practice

Higher Plus

8th November 1983

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 8-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 (9 + sqrt(5))(9 - sqrt(5)).
3
Inverse and Composite Functions3 marks
f(x) = 4x + 9 and g(x) = 5x - 5. Work out fg(0).
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 5 m/s to 17 m/s over 6 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 = 5a - 3b and vector RS = 10a - 6b. What does this show about PQ and RS?

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