Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
8th October 2016
- 1Conditional Probability3 marks
A bag holds 3 red, 7 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 2Histograms3 marks
On a histogram the bar for 40 < x <= 45 has a frequency density of 1.2. How many values are in that class?
- 3Bounds3 marks
A car covers 850 m (to the nearest 10 m) in 2 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 4Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 225 and y = x - 3 simultaneously.
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 40. Work out y when x = 3.
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