Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
20th August 2021
- 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?
- 2Surds3 marks
Rationalise the denominator of 55/sqrt(11), giving your answer in its simplest form.
- 3Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 14x - 8.
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 8 m/s to 15 m/s over 8 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 = 2a - 6b and vector RS = 8a - 24b. What does this show about PQ and RS?
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