Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Conditional Probability3 marks
A bag holds 7 red, 3 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 2Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 1, 3, 0.5, 2. Which class contains the median?
- 3Surds3 marks
Simplify sqrt(50) + sqrt(2), giving your answer in the form a sqrt(b).
- 4Algebraic Fractions3 marks
Simplify (x^2 - 13x + 40)/(x - 8).
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 54. Work out y when x = 16.
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