Daily Practice

Higher Plus

3rd November 1960

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

1
Surds3 marks
Simplify sqrt(48) + sqrt(48), giving your answer in the form a sqrt(b).
2
Iteration3 marks
Use the iteration x(n+1) = cube root of (6x(n) + 8) with x(0) = 4. Work out x(1) to 3 decimal places.
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 = p. M is the point dividing AB in the ratio 3 : 1. Write vector OM in terms of b and p.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 55 wins. How many games did they play?

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