Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 192. Work out y when x = 3.
- 2The Sine Rule3 marks
In triangle ABC, angle A is 49°, side a is 16 cm and side b is 8 cm. Work out the acute angle B, to 1 decimal place.
- 3Conditional Probability3 marks
A bag holds 3 red and 5 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 4Histograms3 marks
On a histogram the bar for 50 < x <= 55 has a frequency density of 1.2. How many values are in that class?
- 5Surds3 marks
Rationalise the denominator of 6/sqrt(3), giving your answer in its simplest form.
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