Daily Practice

Higher Plus

29th January 1980

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

1
Surds3 marks
Expand and simplify (2 + sqrt(10))(2 - sqrt(10)).
2
Inverse and Composite Functions3 marks
f(x) = 2x - 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 = 16, y = 36. Work out y when x = 9.
4
The Cosine Rule3 marks
A triangle has sides 7 cm, 9 cm and 7 cm. Work out the angle opposite the 7 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 4/7. Work out n.

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