Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
17th November 2004
- 1Histograms2 marks
On a histogram, a 10-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 8 cm by 15 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 3Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 4x - 15.
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 9 m/s to 16 m/s over 4 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 = 5a - b and vector RS = 20a - 4b. What does this show about PQ and RS?
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