Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
9th October 2014
- 1Surds3 marks
Simplify sqrt(12) + sqrt(48), giving your answer in the form a sqrt(b).
- 2Transforming Graphs y=f(x)3 marks
The point (1, 1) lies on y = f(x). Write down its image on y = f(-x).
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 42. Work out y when x = 4.
- 4The Cosine Rule3 marks
A triangle has sides of 11 cm and 9 cm with an angle of 66° between them. Work out the third side, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 4 red, 7 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
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