Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
12th July 2017
- 1Histograms2 marks
On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 2Bounds3 marks
A rectangle is 27 cm by 29 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 3Factorising Harder Quadratics3 marks
Solve 5x^2 + 32x + 12 = 0.
- 4Velocity Time Graphs3 marks
A tram runs at 6 m/s for 10 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 = 4a - 2b and vector RS = 8a - 4b. What does this show about PQ and RS?
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