Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
10th September 2017
- 1Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 2Bounds3 marks
x = 54 and y = 27, each correct to the nearest whole number. Work out the upper bound of x - y.
- 3Quadratic Inequalities3 marks
Solve x^2 + x - 6 > 0.
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 5 m/s to 19 m/s over 12 seconds. Use the area under the velocity-time graph to find the distance travelled.
- 5Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = a - 5b and vector RS = 4a - 20b. What does this show about PQ and RS?
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