Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
10th March 2023
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 24. Work out y when x = 3.
- 2The Sine Rule3 marks
In triangle ABC, angle A is 73°, side a is 10 cm and side b is 5 cm. Work out the acute angle B, to 1 decimal place.
- 3Conditional Probability3 marks
A bag holds 5 red and 6 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 60 < x <= 80 has a frequency density of 2.4. How many values are in that class?
- 5Surds3 marks
Rationalise the denominator of 35/sqrt(7), giving your answer in its simplest form.
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