Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
9th March 2011
- 1Conditional Probability3 marks
A bag holds 5 red, 6 blue and 3 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 30 < x <= 50 has a frequency density of 1.5. How many values are in that class?
- 3Bounds3 marks
A rectangle is 9 cm by 28 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 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 = 3, y = 54. Work out y when x = 2.
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