Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
4th October 2001
- 1Histograms2 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?
- 2Surds3 marks
Simplify sqrt(20) + sqrt(5), giving your answer in the form a sqrt(b).
- 3The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 5, 21, 45, 77. Work out the second difference, and the coefficient of n^2.
- 4Velocity Time Graphs3 marks
A tram runs at 13 m/s for 20 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 = a - b and vector RS = 3a - 3b. What does this show about PQ and RS?
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