Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
2nd January 2014
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 14. Work out y when x = 16.
- 2The Cosine Rule3 marks
A triangle has sides of 5 cm and 6 cm with an angle of 136° between them. Work out the third side, to 1 decimal place.
- 3Conditional Probability3 marks
A bag holds 4 red, 7 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 4Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 0.5, 1, 2, 3. Which class contains the median?
- 5Surds3 marks
Simplify sqrt(75) + sqrt(3), giving your answer in the form a sqrt(b).
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