Daily Practice

Higher Plus

26th February 1989

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

1
Conditional Probability3 marks
A bag holds 3 red and 7 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
2
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 3, 1, 2, 0.5. Which class contains the median?
3
Bounds3 marks
x = 104 and y = 25, 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, 32, 57, 90, ...
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 72. Work out y when x = 6.

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