Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
28th September 2024
- 1Bounds3 marks
A car covers 500 m (to the nearest 10 m) in 4 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 2Factorising Harder Quadratics3 marks
Solve 12x^2 + x - 6 = 0.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 135. Work out y when x = 2.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = b. M is the point dividing AB in the ratio 2 : 1. Write vector OM in terms of c and b.
- 5Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 40 wins. How many games did they play?
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