Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
23rd August 2009
- 1Histograms2 marks
On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 2Bounds3 marks
x = 181 and y = 89, each correct to the nearest whole number. Work out the upper bound of x - y.
- 3Algebraic Fractions3 marks
Simplify (x^2 + 2x - 15)/(x + 5).
- 4Velocity Time Graphs3 marks
A tram runs at 15 m/s for 30 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 - 3b and vector RS = 9a - 9b. What does this show about PQ and RS?
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