Daily Practice

Higher Plus

23rd May 1989

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

1
Surds3 marks
Expand and simplify (2 + sqrt(6))(2 - sqrt(6)).
2
Inverse and Composite Functions3 marks
f(x) = 3x - 5 and g(x) = 6x - 7. Work out fg(1).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 40. Work out y when x = 5.
4
The Cosine Rule3 marks
A triangle has sides of 15 cm and 8 cm with an angle of 86° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 6 red, 4 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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