Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
20th February 2026
- 1Surds3 marks
Rationalise the denominator of 99/sqrt(11), giving your answer in its simplest form.
- 2Factorising Harder Quadratics3 marks
Solve 2x^2 + 5x - 12 = 0.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 25. Work out y when x = 9.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = q. X is the point dividing AB in the ratio 1 : 3. Write vector OX in terms of c and q.
- 5Probability Equation Questions3 marks
The probability of winning a game is 1/5. A player expects 7 wins. How many games did they play?
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