Daily Practice

Higher Plus

8th June 1986

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

1
Bounds3 marks
x = 68 and y = 16, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Proof2 marks
In an algebraic proof, how would you write an even number in terms of an integer n?
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 192. Work out y when x = 2.
4
The Cosine Rule3 marks
A triangle has sides of 7 cm and 16 cm with an angle of 89° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 3 red, 5 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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