Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
3rd April 2026
- 1Surds3 marks
Rationalise the denominator of 50/sqrt(5), giving your answer in its simplest form.
- 2Inverse and Composite Functions3 marks
f(x) = 3x + 7 and g(x) = 6x - 5. Work out fg(3).
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 162. Work out y when x = 4.
- 4The Sine Rule3 marks
In triangle ABC, angle A is 59°, side a is 14 cm and side b is 7 cm. Work out the acute angle B, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 5 red and 5 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
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