Daily Practice

Higher Plus

29th August 1976

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

1
Bounds3 marks
x = 41 and y = 15, 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 the product of two consecutive integers in terms of an integer n?
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 16. Work out y when x = 49.
4
The Cosine Rule3 marks
A triangle has sides of 10 cm and 6 cm with an angle of 55° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 4 red, 6 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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