Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
20th September 2007
- 1Conditional Probability3 marks
A bag holds 3 red and 9 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 2Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 3, 2, 0.5, 1. Which class contains the median?
- 3Surds3 marks
Simplify sqrt(18) + sqrt(18), giving your answer in the form a sqrt(b).
- 4Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 14x - 2.
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 56. Work out y when x = 4.
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