Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
10th December 2004
- 1Conditional Probability3 marks
A bag holds 4 red, 4 blue and 4 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 20 < x <= 30 has a frequency density of 3.5. How many values are in that class?
- 3Surds3 marks
Rationalise the denominator of 40/sqrt(5), giving your answer in its simplest form.
- 4Algebraic Fractions3 marks
Simplify (x^2 + 3x - 10)/(x + 5).
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 40. Work out y when x = 5.
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