Daily Practice

Higher Plus

15th January 1988

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

1
Probability Equation Questions3 marks
A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 1/7. Work out r.
2
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 1, 2, 3, 0.5. 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 9, 21, 39, 63, ...
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 100. Work out y when x = 5.

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