Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
19th September 2020
- 1Bounds3 marks
A car covers 250 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.
- 2Quadratic Inequalities3 marks
Solve x^2 - 3x < 0.
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 48. Work out y when x = 4.
- 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 2 : 1. Write vector ON in terms of b and a.
- 5Probability Equation Questions3 marks
The probability of winning a game is 3/10. A player expects 9 wins. How many games did they play?
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