Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
25th April 2002
- 1Conditional Probability3 marks
A bag holds 6 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 20 < x <= 30 has a frequency density of 2.4. How many values are in that class?
- 3Surds3 marks
Simplify sqrt(72) + sqrt(72), 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 directly proportional to x^3. When x = 4, y = 320. Work out y when x = 5.
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