Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
27th November 2019
- 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, 7 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 10-wide bar and a 30-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 4Bounds3 marks
A rectangle is 23 cm by 19 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 5Iteration3 marks
Use the iteration x(n+1) = cube root of (11x(n) + 5) with x(0) = 4. Work out x(1) to 3 decimal places.
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