Daily Practice

Higher Plus

12th May 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 16-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
2
Surds3 marks
Simplify sqrt(32) + sqrt(50), giving your answer in the form a sqrt(b).
3
Completing the Square3 marks
Write x^2 - 14x - 9 in the form (x + a)^2 + b.
4
Velocity Time Graphs3 marks
A tram runs at 4 m/s for 20 s, then slows steadily to rest over 6 s. Work out its average speed for the whole journey, to 2 decimal places.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 5a - 6b and vector RS = 20a - 24b. What does this show about PQ and RS?

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