Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
14th February 2023
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 384. Work out y when x = 3.
- 2The Cosine Rule3 marks
A triangle has sides of 9 cm and 10 cm with an angle of 112° between them. Work out the third side, to 1 decimal place.
- 3Conditional Probability3 marks
A bag holds 7 red, 4 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 4Histograms3 marks
On a histogram the bar for 20 < x <= 25 has a frequency density of 1.2. How many values are in that class?
- 5Surds3 marks
Expand and simplify (6 + sqrt(3))(6 - sqrt(3)).
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