Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
12th October 1997
- 1Conditional Probability3 marks
A bag holds 7 red and 3 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 2Histograms3 marks
On a histogram the bar for 60 < x <= 65 has a frequency density of 3.5. How many values are in that class?
- 3Bounds3 marks
x = 76 and y = 38, each correct to the nearest whole number. Work out the upper bound of x - y.
- 4Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 841 and y = x - 1 simultaneously.
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 256. Work out y when x = 2.
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