Daily Practice · Higher Plus

Daily Practice - Higher Plus

19th September 1995

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

1
Surds3 marks
Expand and simplify (7 + sqrt(3))(7 - sqrt(3)).
2
Inverse and Composite Functions3 marks
f(x) = 6x - 10. 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 = 15. Work out y when x = 25.
4
The Cosine Rule3 marks
A triangle has sides of 16 cm and 7 cm with an angle of 62° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 6 red, 6 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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