Daily Practice · Higher Plus

Daily Practice - Higher Plus

25th June 1993

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

1
Surds3 marks
Rationalise the denominator of 12/sqrt(3), giving your answer in its simplest form.
2
Inverse and Composite Functions3 marks
f(x) = 2x - 5. Work out the inverse function f^-1(x).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 14. Work out y when x = 9.
4
The Sine Rule3 marks
In triangle ABC, angle A is 42°, side a is 14 cm and side b is 6 cm. Work out the acute angle B, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 9 red and 4 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

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