Daily Practice

Higher Plus

15th January 1965

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

1
Probability Equation Questions3 marks
A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 28/45. Work out r.
2
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 1, 2, 0.5, 3. Which class contains the median?
3
Surds3 marks
Rationalise the denominator of 66/sqrt(6), giving your answer in its simplest form.
4
Rearranging Harder Formulae3 marks
Make x the subject of 3x + 3 = y(x + 3).
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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