Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
4th March 2026
- 1Bounds3 marks
A rectangle is 11 cm by 20 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 2Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 100 and y = x - 2 simultaneously.
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 12. Work out y when x = 2.
- 4The Sine Rule3 marks
In triangle ABC, angle A is 46°, side a is 19 cm and side b is 10 cm. Work out the acute angle B, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 8 red and 4 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
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