Daily Practice - Higher Plus
- 1Perpendicular Lines and the equation of a tangent3 marks
The point (8, 15) lies on the circle x^2 + y^2 = 289. Work out the gradient of the tangent to the circle at that point.
- 2Conditional Probability3 marks
A bag holds 7 red, 6 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 3Histograms2 marks
On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 4Surds3 marks
Rationalise the denominator of 22/sqrt(11), giving your answer in its simplest form.
- 5Inverse and Composite Functions3 marks
f(x) = 4x + 11. Work out the inverse function f^-1(x).
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