Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
6th September 2024
- 1Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 48. Work out y when x = 4.
- 2The Cosine Rule3 marks
A triangle has sides of 9 cm and 12 cm with an angle of 44° between them. Work out the third side, to 1 decimal place.
- 3Conditional Probability3 marks
A bag holds 3 red, 7 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 0.5, 3, 2, 1. Which class contains the median?
- 5Surds3 marks
Rationalise the denominator of 6/sqrt(2), giving your answer in its simplest form.
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