Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

18th June 2023

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

1
Bounds3 marks
x = 69 and y = 58, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Inverse and Composite Functions3 marks
f(x) = 6x - 9 and g(x) = 5x - 2. Work out fg(5).
3
Velocity Time Graphs2 marks
A train slows steadily from 38 m/s to rest in 10 seconds. Work out its deceleration.
4
The Sine Rule3 marks
In triangle ABC, angle A is 54°, side a is 13 cm and side b is 9 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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