Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
12th November 2019
- 1Surds3 marks
Expand and simplify (3 + sqrt(7))(3 - sqrt(7)).
- 2The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts -4, -2, 4, 14. Work out the second difference, and the coefficient of n^2.
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 108. Work out y when x = 6.
- 4The Cosine Rule3 marks
A triangle has sides of 7 cm and 7 cm with an angle of 141° between them. Work out the third side, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 6 red, 3 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
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