Daily Practice

Higher Plus

17th May 1973

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

1
Surds3 marks
Simplify sqrt(32) + sqrt(8), giving your answer in the form a sqrt(b).
2
Inverse and Composite Functions3 marks
f(x) = 3x - 7. Work out the inverse function f^-1(x).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 27. Work out y when x = 81.
4
The Cosine Rule3 marks
A triangle has sides of 17 cm and 6 cm with an angle of 82° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 7 red, 3 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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