Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

16th April 2012

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

1
Bounds3 marks
A block has mass 540 g (to the nearest 10 g) and volume 11 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) = 5x + 1 and g(x) = 4x + 1. Work out fg(-3).
3
Velocity Time Graphs2 marks
A train slows steadily from 32 m/s to rest in 5 seconds. Work out its deceleration.
4
The Sine Rule3 marks
In triangle ABC, angle A is 42°, side a is 11 cm and side b is 8 cm. Work out the acute angle B, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 5 red and 3 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

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