Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Surds3 marks
Rationalise the denominator of 84/sqrt(7), giving your answer in its simplest form.
- 2Transforming Graphs y=f(x)3 marks
The point (-3, 2) lies on y = f(x). Write down its image on y = f(-x).
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 4. Work out y when x = 2.
- 4The Sine Rule3 marks
In triangle ABC, angle A is 64°, side a is 9 cm and side b is 4 cm. Work out the acute angle B, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 4 red and 10 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
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