Daily Practice

Higher Plus

1st February 1953

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

1
Bounds3 marks
x = 173 and y = 148, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Inverse and Composite Functions3 marks
f(x) = 6x + 8 and g(x) = 3x + 1. Work out fg(2).
3
Velocity Time Graphs2 marks
A train slows steadily from 22 m/s to rest in 4 seconds. Work out its deceleration.
4
The Cosine Rule3 marks
A triangle has sides of 17 cm and 18 cm with an angle of 48° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 7 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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