Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
28th August 2008
- 1Histograms2 marks
On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 2Surds3 marks
Simplify sqrt(80) + sqrt(80), giving your answer in the form a sqrt(b).
- 3The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 9, 20, 39, 66, ...
- 4Velocity Time Graphs3 marks
A tram runs at 15 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.
- 5Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 5a - 3b and vector RS = 20a - 12b. What does this show about PQ and RS?
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