Daily Practice

Higher Plus

23rd August 1960

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

1
Surds3 marks
Expand and simplify (2 + sqrt(5))(2 - sqrt(5)).
2
Trigonometric and Exponential Graphs2 marks
The curve y = sin x° is drawn for 0 <= x <= 360. Write down the value of y when x = 0.
3
Velocity Time Graphs2 marks
A train slows steadily from 31 m/s to rest in 4 seconds. Work out its deceleration.
4
The Cosine Rule3 marks
A triangle has sides of 9 cm and 6 cm with an angle of 82° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 3 red, 6 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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