Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
1st October 2012
- 1Bounds3 marks
A block has mass 690 g (to the nearest 10 g) and volume 24 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 2Inverse and Composite Functions3 marks
f(x) = 2x - 9. Work out the inverse function f^-1(x).
- 3Velocity Time Graphs2 marks
A train slows steadily from 25 m/s to rest in 8 seconds. Work out its deceleration.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = b. X is the midpoint. Write vector OX in terms of p and b.
- 5Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 33 wins. How many games did they play?
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