Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
4th November 2018
- 1Histograms2 marks
On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 2Bounds3 marks
x = 81 and y = 56, each correct to the nearest whole number. Work out the upper bound of x - y.
- 3Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 12x + 11.
- 4Velocity Time Graphs3 marks
A tram runs at 6 m/s for 20 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 = 3a - 2b and vector RS = 12a - 8b. What does this show about PQ and RS?
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