Daily Practice

Higher Plus

12th July 1970

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

1
Conditional Probability3 marks
A bag holds 6 red, 6 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 20-wide classes from 0, with frequency densities 0.5, 3, 1, 2. Which class contains the median?
3
Bounds3 marks
x = 32 and y = 19, each correct to the nearest whole number. Work out the upper bound of x - y.
4
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 6, 8, 14, 24. Work out the second difference, and the coefficient of n^2.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 36. Work out y when x = 64.

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