Daily Practice

Higher Plus

21st October 1975

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(5))(9 - sqrt(5)).
3
Quadratic Inequalities3 marks
Solve x^2 - 8x + 12 < 0.
4
Velocity Time Graphs3 marks
A tram runs at 11 m/s for 10 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 = 3a + 6b and vector RS = 9a + 18b. What does this show about PQ and RS?

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