Daily Practice

Higher Plus

30th December 1987

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

1
Bounds3 marks
A rectangle is 6 cm by 5 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
Inverse and Composite Functions3 marks
f(x) = 2x - 2 and g(x) = 6x + 6. Work out fg(6).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 8. Work out y when x = 2.
4
The Cosine Rule3 marks
A triangle has sides of 12 cm and 11 cm with an angle of 29° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 4 red, 3 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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