Daily Practice

Higher Plus

15th July 1955

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Surds3 marks
Rationalise the denominator of 18/sqrt(2), giving your answer in its simplest form.
2
Iteration3 marks
Use the iteration x(n+1) = cube root of (6x(n) + 3) with x(0) = 3. Work out x(1) to 3 decimal places.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 72. Work out y when x = 6.
4
The Sine Rule3 marks
In triangle ABC, angle A is 40°, side a is 10 cm and side b is 5 cm. Work out the acute angle B, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 3 red and 11 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

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