Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
31st October 2025
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 24. Work out y when x = 36.
- 2The Cosine Rule3 marks
A triangle has sides of 5 cm and 8 cm with an angle of 124° between them. Work out the third side, to 1 decimal place.
- 3Conditional Probability3 marks
A bag holds 7 red, 6 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 4Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 3, 0.5, 1, 2. Which class contains the median?
- 5Surds3 marks
Rationalise the denominator of 50/sqrt(5), giving your answer in its simplest form.
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