Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
23rd September 2025
- 1Surds3 marks
Expand and simplify (5 + sqrt(3))(5 - sqrt(3)).
- 2The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 12, 22, 36, 54. Work out the second difference, and the coefficient of n^2.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 384. Work out y when x = 5.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = b. N is the midpoint. Write vector ON in terms of q and b.
- 5Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 26 wins. How many games did they play?
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