Daily Practice

Higher Plus

5th June 1977

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

1
Conditional Probability3 marks
A bag holds 4 red, 5 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
2
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 3, 0.5, 2, 1. Which class contains the median?
3
Bounds3 marks
x = 146 and y = 48, each correct to the nearest whole number. Work out the upper bound of x - y.
4
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 15, 29, 49, 75, ...
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 16. Work out y when x = 64.

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