Daily Practice

Higher Plus

20th August 1972

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

1
Bounds3 marks
x = 87 and y = 65, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Inverse and Composite Functions3 marks
f(x) = 3x - 8 and g(x) = 6x - 9. Work out fg(2).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 128. Work out y when x = 2.
4
The Cosine Rule3 marks
A triangle has sides of 15 cm and 14 cm with an angle of 25° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 6 red, 3 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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