Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
19th October 2025
- 1Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 4. Work out y when x = 2.
- 2The Cosine Rule3 marks
A triangle has sides 8 cm, 12 cm and 11 cm. Work out the angle opposite the 8 cm side, to 1 decimal place.
- 3Probability Equation Questions3 marks
A bag holds 2 red and n blue counters. The probability of taking a red is 1/3. Work out n.
- 4Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 2, 0.5, 3, 1. Which class contains the median?
- 5Bounds3 marks
x = 40 and y = 30, each correct to the nearest whole number. Work out the upper bound of x - y.
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