Daily Practice · Higher Plus

Daily Practice - Higher Plus

6th December 1996

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

1
Surds3 marks
Rationalise the denominator of 14/sqrt(2), giving your answer in its simplest form.
2
Inverse and Composite Functions3 marks
f(x) = 3x - 3 and g(x) = 4x + 9. Work out fg(3).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 9. Work out y when x = 3.
4
The Sine Rule3 marks
In triangle ABC, angle A is 43°, side a is 16 cm and side b is 14 cm. Work out the acute angle B, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 7 red and 6 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

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