Daily Practice

Higher Plus

12th July 1983

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

1
Surds3 marks
Expand and simplify (4 + sqrt(7))(4 - sqrt(7)).
2
Inverse and Composite Functions3 marks
f(x) = 3x + 4 and g(x) = 3x - 5. Work out fg(3).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 75. Work out y when x = 5.
4
The Cosine Rule3 marks
A triangle has sides 10 cm, 14 cm and 6 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 7/9. Work out n.

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