Daily Practice

Higher Plus

3rd January 1986

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

1
Surds3 marks
Rationalise the denominator of 99/sqrt(11), giving your answer in its simplest form.
2
Transforming Graphs y=f(x)3 marks
The point (-1, 1) lies on y = f(x). Write down its image on y = f(-x).
3
Velocity Time Graphs2 marks
A train slows steadily from 26 m/s to rest in 8 seconds. Work out its deceleration.
4
The Sine Rule3 marks
In triangle ABC, angle A is 72°, side a is 19 cm and side b is 13 cm. Work out the acute angle B, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 4 red and 5 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

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