Daily Practice

Higher Plus

16th March 1971

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 20-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (2 + sqrt(6))(2 - sqrt(6)).
3
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 841 and y = x + 1 simultaneously.
4
Velocity Time Graphs3 marks
A tram runs at 20 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 - 2b and vector RS = 10a - 4b. What does this show about PQ and RS?

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