Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
18th April 1999
- 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 = 43 and y = 20, 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 - 10x + 1.
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 3 m/s to 22 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 = 4a + b and vector RS = 16a + 4b. What does this show about PQ and RS?
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