Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
19th June 2025
- 1Surds3 marks
Simplify sqrt(18) + sqrt(72), giving your answer in the form a sqrt(b).
- 2Quadratic Inequalities3 marks
Solve x^2 + 9x + 18 > 0.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 128. Work out y when x = 2.
- 4Finding the Area of Any Triangle3 marks
A triangle has sides of 9 cm and 14 cm and an area of 54.56 cm^2. Work out the acute angle between those two sides, to the nearest degree.
- 5Probability Equation Questions3 marks
A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 1/15. Work out r.
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