Daily Practice

Higher Plus

29th March 1988

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

1
Surds3 marks
Expand and simplify (3 + sqrt(5))(3 - sqrt(5)).
2
Transforming Graphs y=f(x)3 marks
The point (-1, 2) lies on y = f(x). Write down its image on y = f(x + 5).
3
Velocity Time Graphs2 marks
A train slows steadily from 30 m/s to rest in 10 seconds. Work out its deceleration.
4
The Cosine Rule3 marks
A triangle has sides of 16 cm and 18 cm with an angle of 142° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 4 red, 3 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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