Daily Practice

Higher Plus

6th June 1954

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

1
Conditional Probability3 marks
A bag holds 3 red, 3 blue and 5 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 0.5, 3, 1, 2. Which class contains the median?
3
Bounds3 marks
x = 56 and y = 34, each correct to the nearest whole number. Work out the upper bound of x - y.
4
Rearranging Harder Formulae3 marks
Make x the subject of 4x + 6 = y(x + 6).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 20. Work out y when x = 81.

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