Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
14th September 2024
- 1Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 4/5. Work out n.
- 2Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 2, 3, 0.5, 1. Which class contains the median?
- 3Bounds3 marks
A car covers 650 m (to the nearest 10 m) in 9 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 4The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 15, 24, 35, 48. Work out the second difference, and the coefficient of n^2.
- 5Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 16. Work out y when x = 2.
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