Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
21st June 2025
- 1Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 72. Work out y when x = 6.
- 2The Cosine Rule3 marks
A triangle has sides 13 cm, 13 cm and 7 cm. Work out the angle opposite the 13 cm side, to 1 decimal place.
- 3Probability Equation Questions3 marks
A bag holds 5 red and n blue counters. The probability of taking a red is 5/8. 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
A car covers 550 m (to the nearest 10 m) in 4 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
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