Daily Practice

Higher Plus

21st April 1987

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 1.5. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (9 + sqrt(10))(9 - sqrt(10)).
3
Algebraic Fractions3 marks
Simplify (x^2 - 5x - 6)/(x - 6).
4
Velocity Time Graphs3 marks
A tram runs at 4 m/s for 30 s, then slows steadily to rest over 10 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 = 3a - 2b and vector RS = 9a - 6b. What does this show about PQ and RS?

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