Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
20th January 2021
- 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 7 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 10-wide bar and a 30-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 4Bounds3 marks
A rectangle is 8 cm by 4 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 5Transforming Graphs y=f(x)3 marks
The point (-1, 1) lies on y = f(x). Write down its image on y = f(x - 5).
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