Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
11th June 2022
- 1Bounds3 marks
A car covers 120 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.
- 2Algebraic Fractions3 marks
Simplify (x^2 - x - 30)/(x + 5).
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 48. Work out y when x = 4.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = q. P is the point dividing AB in the ratio 1 : 2. Write vector OP in terms of p and q.
- 5Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 32 wins. How many games did they play?
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