Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
6th March 2016
- 1Conditional Probability3 marks
A bag holds 7 red and 7 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 20 < x <= 40 has a frequency density of 1.5. How many values are in that class?
- 3Bounds3 marks
x = 162 and y = 25, each correct to the nearest whole number. Work out the upper bound of x - y.
- 4Factorising Harder Quadratics3 marks
Solve 2x^2 + 13x + 20 = 0.
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 24. Work out y when x = 5.
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