Daily Practice - Higher Plus
10th August 1994
- 1Perpendicular Lines and the equation of a tangent3 marks
The point (12, 16) lies on the circle x^2 + y^2 = 400. Work out the gradient of the tangent to the circle at that point.
- 2Conditional Probability3 marks
A bag holds 4 red, 5 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 3Histograms2 marks
On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 4Bounds3 marks
A rectangle is 22 cm by 12 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 5Quadratic Inequalities3 marks
Solve x^2 + 9x + 20 < 0.
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