Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
4th April 2013
- 1Histograms2 marks
On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 2Surds3 marks
Simplify sqrt(18) + sqrt(98), giving your answer in the form a sqrt(b).
- 3Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 8x - 1.
- 4Velocity Time Graphs3 marks
A tram runs at 4 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 = 2a + 6b and vector RS = 10a + 30b. What does this show about PQ and RS?
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