Daily Practice

Higher Plus

2nd September 1960

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

1
Conditional Probability3 marks
A bag holds 7 red, 7 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 20-wide classes from 0, with frequency densities 1, 0.5, 2, 3. Which class contains the median?
3
Surds3 marks
Rationalise the denominator of 84/sqrt(7), giving your answer in its simplest form.
4
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 0, 3, 8, 15, ...
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 63. Work out y when x = 64.

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