Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
6th August 2025
- 1Bounds3 marks
A rectangle is 9 cm by 13 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 2Inverse and Composite Functions3 marks
f(x) = 4x + 1. Work out the inverse function f^-1(x).
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 128. Work out y when x = 3.
- 4The Sine Rule3 marks
In triangle ABC, angle A is 69°, side a is 9 cm and side b is 6 cm. Work out the acute angle B, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 9 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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