Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 144. Work out y when x = 6.
- 2The Cosine Rule3 marks
A triangle has sides of 12 cm and 6 cm with an angle of 70° between them. Work out the third side, to 1 decimal place.
- 3Conditional Probability3 marks
A bag holds 6 red, 3 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 1, 2, 0.5, 3. Which class contains the median?
- 5Surds3 marks
Expand and simplify (6 + sqrt(10))(6 - sqrt(10)).
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