Daily Practice

Higher Plus

24th December 1971

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

1
Surds3 marks
Rationalise the denominator of 10/sqrt(2), giving your answer in its simplest form.
2
Inverse and Composite Functions3 marks
f(x) = 8x + 10. Work out the inverse function f^-1(x).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 54. Work out y when x = 4.
4
The Cosine Rule3 marks
A triangle has sides of 9 cm and 15 cm with an angle of 88° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 4 red, 7 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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