Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
19th August 2026
- 1Bounds3 marks
A rectangle is 5 cm by 26 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 2Algebraic Fractions3 marks
Simplify (x^2 - 9x + 14)/(x - 2).
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 18. Work out y when x = 3.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = b. M is the point dividing AB in the ratio 2 : 1. Write vector OM in terms of p and b.
- 5Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 21 wins. How many games did they play?
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