Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
16th December 2021
- 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 7 red, 3 blue and 5 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 5 units wide with density 0.8. How many values in total?
- 4Surds3 marks
Simplify sqrt(18) + sqrt(8), giving your answer in the form a sqrt(b).
- 5The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 15, 29, 49, 75. Work out the second difference, and the coefficient of n^2.
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