Daily Practice

Higher Plus

18th October 1986

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

1
Bounds3 marks
A car covers 110 m (to the nearest 10 m) in 7 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
2
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 169 and y = x - 7 simultaneously.
3
Velocity Time Graphs2 marks
A train slows steadily from 27 m/s to rest in 5 seconds. Work out its deceleration.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = p. X is the midpoint. Write vector OX in terms of q and p.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/8. A player expects 30 wins. How many games did they play?

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