Daily Practice

Higher Plus

23rd April 1965

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

1
Surds3 marks
Rationalise the denominator of 77/sqrt(7), giving your answer in its simplest form.
2
Iteration3 marks
Use the iteration x(n+1) = cube root of (10x(n) + 9) with x(0) = 2. Work out x(1) to 3 decimal places.
3
Velocity Time Graphs2 marks
A train slows steadily from 13 m/s to rest in 5 seconds. Work out its deceleration.
4
The Sine Rule3 marks
In triangle ABC, angle A is 72°, side a is 11 cm and side b is 9 cm. Work out the acute angle B, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 5 red and 9 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

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