Daily Practice

Higher Plus

12th June 1968

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

1
Bounds3 marks
A rectangle is 14 cm by 4 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
Inverse and Composite Functions3 marks
f(x) = 6x - 4 and g(x) = 4x - 1. Work out fg(3).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 16. Work out y when x = 9.
4
The Cosine Rule3 marks
A triangle has sides of 12 cm and 12 cm with an angle of 69° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 3 red, 3 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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