Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
17th October 2025
- 1Surds3 marks
Rationalise the denominator of 99/sqrt(11), giving your answer in its simplest form.
- 2Algebraic Fractions3 marks
Simplify (x^2 - 9x + 14)/(x - 2).
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 108. Work out y when x = 4.
- 4Finding the Area of Any Triangle3 marks
A triangle has sides of 8 cm and 9 cm and an area of 25.46 cm^2. Work out the acute angle between those two sides, to the nearest degree.
- 5Probability Equation Questions3 marks
A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 3/55. Work out r.
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