Daily Practice · Higher Plus

Daily Practice - Higher Plus

30th December 1995

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Bounds3 marks
A car covers 320 m (to the nearest 10 m) in 8 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
2
Inverse and Composite Functions3 marks
f(x) = 6x - 6. Work out the inverse function f^-1(x).
3
Velocity Time Graphs2 marks
A train slows steadily from 14 m/s to rest in 10 seconds. Work out its deceleration.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = q. N is the point dividing AB in the ratio 2 : 1. Write vector ON in terms of b and q.
5
Probability Equation Questions3 marks
The probability of winning a game is 9/10. A player expects 99 wins. How many games did they play?

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