Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
29th August 2019
- 1Perpendicular Lines and the equation of a tangent3 marks
The point (9, 12) lies on the circle x^2 + y^2 = 225. Work out the gradient of the tangent to the circle at that point.
- 2Conditional Probability3 marks
A bag holds 4 red, 5 blue and 3 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 10 units wide with frequency density 2, one 25 units wide with density 3. How many values in total?
- 4Surds3 marks
Simplify sqrt(12) + sqrt(108), giving your answer in the form a sqrt(b).
- 5Transforming Graphs y=f(x)3 marks
The point (6, -6) lies on y = f(x). Write down its image on y = f(x - 1).
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