Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
28th March 2013
- 1Conditional Probability3 marks
A bag holds 6 red, 7 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 20-wide classes from 0, with frequency densities 3, 2, 1, 0.5. Which class contains the median?
- 3Surds3 marks
Simplify sqrt(32) + sqrt(8), giving your answer in the form a sqrt(b).
- 4Trigonometric and Exponential Graphs2 marks
The curve y = sin x° is drawn for 0 <= x <= 360. Write down the value of y when x = 360.
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 24. Work out y when x = 64.
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