Daily Practice

Higher Plus

19th November 1989

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

1
Bounds3 marks
x = 167 and y = 30, 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 (10x(n) + 7) with x(0) = 2. Work out x(1) to 3 decimal places.
3
Velocity Time Graphs2 marks
A train slows steadily from 37 m/s to rest in 8 seconds. Work out its deceleration.
4
The Cosine Rule3 marks
A triangle has sides of 14 cm and 12 cm with an angle of 108° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 4 red, 5 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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