Daily Practice

Higher Plus

5th June 1966

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

1
Bounds3 marks
x = 171 and y = 13, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Iteration3 marks
Use the iteration x(n+1) = cube root of (4x(n) + 5) 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 4 seconds. Work out its deceleration.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = p. X is the point dividing AB in the ratio 3 : 1. Write vector OX in terms of a and p.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/5. A player expects 7 wins. How many games did they play?

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