Daily Practice

Higher Plus

27th August 1965

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

1
Surds3 marks
Rationalise the denominator of 70/sqrt(7), giving your answer in its simplest form.
2
Inverse and Composite Functions3 marks
f(x) = 2x - 1 and g(x) = 3x + 3. Work out fg(0).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 108. Work out y when x = 6.
4
The Cosine Rule3 marks
A triangle has sides of 14 cm and 10 cm with an angle of 145° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 5 red, 3 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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