Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
11th December 2011
- 1Histograms2 marks
On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 2Bounds3 marks
x = 162 and y = 93, each correct to the nearest whole number. Work out the upper bound of x - y.
- 3Factorising Harder Quadratics3 marks
Solve 15x^2 + 2x - 24 = 0.
- 4Velocity Time Graphs3 marks
A tram runs at 13 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 = 5a - 5b and vector RS = 10a - 10b. What does this show about PQ and RS?
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