Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
24th September 2026
- 1Surds3 marks
Simplify sqrt(48) + sqrt(108), giving your answer in the form a sqrt(b).
- 2Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 289 and y = x - 7 simultaneously.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 15. Work out y when x = 4.
- 4The Cosine Rule3 marks
A triangle has sides 12 cm, 16 cm and 7 cm. Work out the angle opposite the 12 cm side, to 1 decimal place.
- 5Probability Equation Questions3 marks
A bag holds 4 red and n blue counters. The probability of taking a red is 1/2. Work out n.
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