Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
13th September 2025
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 48. Work out y when x = 81.
- 2Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = c. X is the point dividing AB in the ratio 1 : 3. Write vector OX in terms of b and c.
- 3Probability Equation Questions3 marks
The probability of winning a game is 5/8. A player expects 45 wins. How many games did they play?
- 4Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 2, 3, 0.5, 1. Which class contains the median?
- 5Bounds3 marks
A car covers 180 m (to the nearest 10 m) in 2 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
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