Daily Practice

Higher Plus

12th September 1962

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

1
Bounds3 marks
A rectangle is 14 cm by 17 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 the next even number after 2n in terms of an integer n?
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 72. Work out y when x = 6.
4
The Cosine Rule3 marks
A triangle has sides of 13 cm and 15 cm with an angle of 140° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 3 red, 7 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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