Daily Practice

Higher Plus

28th May 1957

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

1
Histograms2 marks
On a histogram, a 5-wide bar and a 15-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 (8 + sqrt(10))(8 - sqrt(10)).
3
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 16x + 10.
4
Velocity Time Graphs3 marks
A tram runs at 15 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 = 2a - 2b and vector RS = 6a - 6b. What does this show about PQ and RS?

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