Daily Practice

Higher Plus

15th March 1985

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

1
Surds3 marks
Rationalise the denominator of 55/sqrt(11), giving your answer in its simplest form.
2
Inverse and Composite Functions3 marks
f(x) = 4x + 6 and g(x) = 3x - 7. Work out fg(1).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 28. Work out y when x = 25.
4
The Cosine Rule3 marks
A triangle has sides of 16 cm and 16 cm with an angle of 47° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 3 red, 4 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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