Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
7th January 2026
- 1Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 7/12. Work out n.
- 2Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 0.5, 2, 1, 3. Which class contains the median?
- 3Bounds3 marks
A rectangle is 21 cm by 10 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 4The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 7, 13, 21, 31, ...
- 5Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 48. Work out y when x = 4.
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