Daily Practice

Higher Plus

8th August 1989

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 40-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(5))(9 - sqrt(5)).
3
Factorising Harder Quadratics3 marks
Solve 8x^2 + 10x - 3 = 0.
4
Velocity Time Graphs3 marks
A tram runs at 5 m/s for 30 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 + 5b and vector RS = 10a + 10b. What does this show about PQ and RS?

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