Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
4th February 2012
- 1Bounds3 marks
A car covers 870 m (to the nearest 10 m) in 2 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 2Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 10x - 6.
- 3Velocity Time Graphs2 marks
A train slows steadily from 35 m/s to rest in 8 seconds. Work out its deceleration.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = m. P is the midpoint. Write vector OP in terms of c and m.
- 5Probability Equation Questions3 marks
The probability of winning a game is 3/10. A player expects 6 wins. How many games did they play?
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