Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
22nd November 2025
- 1Bounds3 marks
A car covers 870 m (to the nearest 10 m) in 6 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 2Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 676 and y = x + 14 simultaneously.
- 3Velocity Time Graphs2 marks
A train slows steadily from 21 m/s to rest in 5 seconds. Work out its deceleration.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = a. N is the point dividing AB in the ratio 1 : 2. Write vector ON in terms of b and a.
- 5Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 8 wins. How many games did they play?
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