Daily Practice

Higher Plus

30th May 1982

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

1
Bounds3 marks
x = 120 and y = 57, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Inverse and Composite Functions3 marks
f(x) = 5x - 6 and g(x) = 3x - 3. Work out fg(3).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 50. Work out y when x = 5.
4
The Cosine Rule3 marks
A triangle has sides of 5 cm and 17 cm with an angle of 39° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 7 red, 4 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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