Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Conditional Probability3 marks
A bag holds 8 red and 4 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 50 < x <= 60 has a frequency density of 2.4. How many values are in that class?
- 3Surds3 marks
Simplify sqrt(45) + sqrt(125), giving your answer in the form a sqrt(b).
- 4Inverse and Composite Functions3 marks
f(x) = 3x - 10. Work out the inverse function f^-1(x).
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 48. Work out y when x = 3.
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