Daily Practice

Higher Plus

6th August 1977

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

1
Bounds3 marks
A car covers 430 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.
2
Iteration3 marks
Use the iteration x(n+1) = cube root of (2x(n) + 2) with x(0) = 3. Work out x(1) to 3 decimal places.
3
Velocity Time Graphs2 marks
A train slows steadily from 40 m/s to rest in 5 seconds. Work out its deceleration.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = q. P is the point dividing AB in the ratio 3 : 1. Write vector OP in terms of p and q.
5
Probability Equation Questions3 marks
The probability of winning a game is 2/5. A player expects 18 wins. How many games did they play?

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