Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
14th August 2016
- 1Perpendicular 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.
- 2Conditional Probability3 marks
A bag holds 3 red, 4 blue and 3 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 1.5. How many more values are in the wider class?
- 4Bounds3 marks
x = 77 and y = 28, each correct to the nearest whole number. Work out the upper bound of x - y.
- 5Inverse and Composite Functions3 marks
f(x) = 2x + 5 and g(x) = 4x + 6. Work out fg(3).
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