Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
27th October 2020
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 48. Work out y when x = 5.
- 2The Cosine Rule3 marks
A triangle has sides of 13 cm and 8 cm with an angle of 71° between them. Work out the third side, to 1 decimal place.
- 3Conditional Probability3 marks
A bag holds 7 red, 3 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 0 < x <= 5 has a frequency density of 1.5. How many values are in that class?
- 5Surds3 marks
Expand and simplify (3 + sqrt(2))(3 - sqrt(2)).
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