Daily Practice

Higher Plus

17th April 1989

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

1
Bounds3 marks
A block has mass 530 g (to the nearest 10 g) and volume 8 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
2
Inverse and Composite Functions3 marks
f(x) = 3x + 9. Work out the inverse function f^-1(x).
3
Velocity Time Graphs2 marks
A train slows steadily from 30 m/s to rest in 4 seconds. Work out its deceleration.
4
The Sine Rule3 marks
In triangle ABC, angle A is 67°, side a is 14 cm and side b is 4 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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