Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

27th May 2003

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 30-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 (6 + sqrt(2))(6 - sqrt(2)).
3
Inverse and Composite Functions3 marks
f(x) = 4x - 6 and g(x) = 3x + 9. Work out fg(2).
4
Velocity Time Graphs3 marks
A tram runs at 4 m/s for 10 s, then slows steadily to rest over 4 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 + b and vector RS = 10a + 5b. What does this show about PQ and RS?

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