Daily Practice

Higher Plus

12th July 1960

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

1
Surds3 marks
Expand and simplify (7 + sqrt(7))(7 - sqrt(7)).
2
Inverse and Composite Functions3 marks
f(x) = 4x - 7. Work out the inverse function f^-1(x).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 4. Work out y when x = 2.
4
The Cosine Rule3 marks
A triangle has sides 20 cm, 13 cm and 14 cm. Work out the angle opposite the 20 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 8/15. Work out n.

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