Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
1st October 2024
- 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 4 red, 3 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 10 units wide with frequency density 0.4, one 10 units wide with density 1.4. How many values in total?
- 4Surds3 marks
Expand and simplify (5 + sqrt(7))(5 - sqrt(7)).
- 5The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 16, 36, 66, 106. Work out the second difference, and the coefficient of n^2.
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