Daily Practice

Higher Plus

4th May 1979

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

1
Surds3 marks
Rationalise the denominator of 12/sqrt(3), giving your answer in its simplest form.
2
Inverse and Composite Functions3 marks
f(x) = 3x + 3 and g(x) = 6x - 2. Work out fg(0).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 54. Work out y when x = 4.
4
The Cosine Rule3 marks
A triangle has sides 12 cm, 15 cm and 7 cm. Work out the angle opposite the 12 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 7/11. Work out n.

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