Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
16th February 2026
- 1Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 50. Work out y when x = 5.
- 2The Cosine Rule3 marks
A triangle has sides 7 cm, 9 cm and 11 cm. Work out the angle opposite the 7 cm side, to 1 decimal place.
- 3Probability Equation Questions3 marks
A bag holds 3 red and n blue counters. The probability of taking a red is 3/11. Work out n.
- 4Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 3, 0.5, 1, 2. Which class contains the median?
- 5Bounds3 marks
A block has mass 480 g (to the nearest 10 g) and volume 15 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
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