Daily Practice

Higher Plus

25th May 1991

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

1
Bounds3 marks
A car covers 870 m (to the nearest 10 m) in 6 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
2
Quadratic Inequalities3 marks
Solve x^2 - 4x - 5 < 0.
3
Velocity Time Graphs2 marks
A train slows steadily from 30 m/s to rest in 4 seconds. Work out its deceleration.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = m. N is the point dividing AB in the ratio 3 : 1. Write vector ON in terms of b and m.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 30 wins. How many games did they play?

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