Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
2nd September 2021
- 1Surds3 marks
Simplify sqrt(18) + sqrt(72), giving your answer in the form a sqrt(b).
- 2Factorising Harder Quadratics3 marks
Solve 6x^2 + 13x + 5 = 0.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 42. Work out y when x = 36.
- 4The Cosine Rule3 marks
A triangle has sides of 14 cm and 18 cm with an angle of 107° between them. Work out the third side, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 5 red, 7 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
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