Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
30th September 2011
- 1Histograms2 marks
On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 2Surds3 marks
Rationalise the denominator of 12/sqrt(2), giving your answer in its simplest form.
- 3Transforming Graphs y=f(x)3 marks
The point (-4, -6) lies on y = f(x). Write down its image on y = -f(x).
- 4Velocity Time Graphs3 marks
A tram runs at 4 m/s for 10 s, then slows steadily to rest over 6 s. Work out its average speed for the whole journey, to 2 decimal places.
- 5Perpendicular Lines and the equation of a tangent3 marks
The point (20, 21) lies on the circle x^2 + y^2 = 841. Work out the gradient of the tangent to the circle at that point.
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