Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
2nd February 2012
- 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
A histogram has four 20-wide classes from 0, with frequency densities 0.5, 3, 2, 1. Which class contains the median?
- 3Surds3 marks
Simplify sqrt(18) + sqrt(32), giving your answer in the form a sqrt(b).
- 4Proof3 marks
Prove that the sum of 5 consecutive integers is always a multiple of 5. State the simplified sum you would use.
- 5Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 32. Work out y when x = 4.
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