Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
17th April 2026
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 35. Work out y when x = 9.
- 2The Cosine Rule3 marks
A triangle has sides 4 cm, 7 cm and 6 cm. Work out the angle opposite the 4 cm side, to 1 decimal place.
- 3Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 4/7. Work out n.
- 4Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 0.5, 1, 2, 3. Which class contains the median?
- 5Surds3 marks
Rationalise the denominator of 55/sqrt(11), giving your answer in its simplest form.
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