Daily Practice

Higher Plus

31st March 1982

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Bounds3 marks
A rectangle is 15 cm by 27 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
Proof2 marks
In an algebraic proof, how would you write a number that leaves a remainder of 1 when divided by 3 in terms of an integer n?
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 21. Work out y when x = 36.
4
The Cosine Rule3 marks
A triangle has sides of 5 cm and 13 cm with an angle of 57° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 5 red, 7 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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