Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
18th November 2015
- 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 6 red, 6 blue and 6 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 5 units wide with frequency density 1.2, one 10 units wide with density 1.4. How many values in total?
- 4Bounds3 marks
A rectangle is 19 cm by 6 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 5Algebraic Fractions3 marks
Simplify (x^2 - 2x - 3)/(x - 3).
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