Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
15th January 2023
- 1Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 50. Work out y when x = 5.
- 2The Cosine Rule3 marks
A triangle has sides of 5 cm and 16 cm with an angle of 127° between them. Work out the third side, to 1 decimal place.
- 3Conditional Probability3 marks
A bag holds 3 red, 3 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 4Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 3, 2, 0.5, 1. Which class contains the median?
- 5Bounds3 marks
x = 192 and y = 23, each correct to the nearest whole number. Work out the upper bound of x - y.
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