Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Histograms2 marks
On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 2Surds3 marks
Expand and simplify (6 + sqrt(5))(6 - sqrt(5)).
- 3Inverse and Composite Functions3 marks
f(x) = 8x - 5. Work out the inverse function f^-1(x).
- 4Velocity 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.
- 5Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 6a - 3b and vector RS = 18a - 9b. What does this show about PQ and RS?
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