Daily Practice

Higher Plus

28th October 1952

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

1
Surds3 marks
Expand and simplify (7 + sqrt(3))(7 - sqrt(3)).
2
Trigonometric and Exponential Graphs2 marks
The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 270.
3
Velocity Time Graphs2 marks
A train slows steadily from 18 m/s to rest in 10 seconds. Work out its deceleration.
4
The Sine Rule3 marks
In triangle ABC, angle A is 59°, side a is 19 cm and side b is 15 cm. Work out the acute angle B, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 3 red and 10 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

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