Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
11th September 2005
- 1Perpendicular Lines and the equation of a tangent3 marks
The point (7, 24) lies on the circle x^2 + y^2 = 625. Work out the gradient of the tangent to the circle at that point.
- 2Conditional Probability3 marks
A bag holds 3 red, 4 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 3Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2.5, one 20 units wide with density 1.4. How many values in total?
- 4Bounds3 marks
x = 90 and y = 39, each correct to the nearest whole number. Work out the upper bound of x - y.
- 5Transforming Graphs y=f(x)3 marks
The point (-3, -3) lies on y = f(x). Write down its image on y = -f(x).
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