Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
23rd November 2012
- 1Histograms2 marks
On a histogram, a 5-wide bar and a 15-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 20/sqrt(2), giving your answer in its simplest form.
- 3Inverse and Composite Functions3 marks
f(x) = 6x - 3 and g(x) = 4x - 5. Work out fg(-1).
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 7 m/s to 20 m/s over 4 seconds. Use the area under the velocity-time graph to find the distance travelled.
- 5Perpendicular Lines and the equation of a tangent3 marks
The point (3, 4) lies on the circle x^2 + y^2 = 25. Work out the gradient of the tangent to the circle at that point.
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