Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
6th October 2024
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 3.
- 2The Cosine Rule3 marks
A triangle has sides of 15 cm and 17 cm with an angle of 54° between them. Work out the third side, to 1 decimal place.
- 3Conditional Probability3 marks
A bag holds 6 red, 4 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 4Histograms3 marks
On a histogram the bar for 60 < x <= 70 has a frequency density of 1.2. How many values are in that class?
- 5Bounds3 marks
x = 116 and y = 77, each correct to the nearest whole number. Work out the upper bound of x - y.
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