Daily Practice · Higher Plus

Daily Practice - Higher Plus

27th March 1993

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

1
Bounds3 marks
A car covers 120 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
Iteration3 marks
Use the iteration x(n+1) = cube root of (9x(n) + 7) with x(0) = 5. Work out x(1) to 3 decimal places.
3
Velocity Time Graphs2 marks
A train slows steadily from 14 m/s to rest in 10 seconds. Work out its deceleration.
4
The Sine Rule3 marks
In triangle ABC, angle A is 39°, side a is 15 cm and side b is 9 cm. Work out the acute angle B, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 3 red and 6 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

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