Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
11th January 2017
- 1Perpendicular Lines and the equation of a tangent3 marks
The point (10, 24) lies on the circle x^2 + y^2 = 676. 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 0.8. How many values in total?
- 4Bounds3 marks
A rectangle is 15 cm by 14 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 5Rearranging Harder Formulae3 marks
Make x the subject of 3x + 3 = y(x + 3).
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