Daily Practice

Higher Plus

17th June 1990

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

1
Bounds3 marks
x = 163 and y = 64, each correct to the nearest whole number. Work out the upper bound of x - y.
2
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 2, 11, 28, 53, ...
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 25. Work out y when x = 9.
4
The Cosine Rule3 marks
A triangle has sides of 13 cm and 6 cm with an angle of 71° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 5 red, 5 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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