Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
21st January 2020
- 1Conditional Probability3 marks
A bag holds 7 red, 5 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 0 < x <= 5 has a frequency density of 3.5. How many values are in that class?
- 3Surds3 marks
Expand and simplify (6 + sqrt(2))(6 - sqrt(2)).
- 4Rearranging Harder Formulae3 marks
Make x the subject of 5x + 8 = y(x + 8).
- 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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