Daily Practice

Higher Plus

10th February 1989

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

1
Surds3 marks
Rationalise the denominator of 66/sqrt(11), giving your answer in its simplest form.
2
Inverse and Composite Functions3 marks
f(x) = 4x - 3 and g(x) = 4x + 2. Work out fg(2).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 8. Work out y when x = 2.
4
The Cosine Rule3 marks
A triangle has sides 8 cm, 16 cm and 10 cm. Work out the angle opposite the 8 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 3 red and n blue counters. The probability of taking a red is 3/7. Work out n.

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