Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Bounds3 marks
A car covers 430 m (to the nearest 10 m) in 5 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 2Completing the Square3 marks
Write x^2 + 2x - 1 in the form (x + a)^2 + b.
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 36. Work out y when x = 3.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = q. X is the point dividing AB in the ratio 1 : 3. Write vector OX in terms of c and q.
- 5Probability Equation Questions3 marks
The probability of winning a game is 1/5. A player expects 7 wins. How many games did they play?
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