Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
20th June 2026
- 1Bounds3 marks
A car covers 540 m (to the nearest 10 m) in 5 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 2Iteration3 marks
Use the iteration x(n+1) = cube root of (2x(n) + 2) with x(0) = 3. Work out x(1) to 3 decimal places.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 12. Work out y when x = 9.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = c. P is the point dividing AB in the ratio 2 : 1. Write vector OP in terms of a and c.
- 5Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 13 wins. How many games did they play?
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