Daily Practice

Higher Plus

13th June 1971

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Probability Equation Questions3 marks
A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 3/11. Work out r.
2
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 1, 0.5, 3, 2. Which class contains the median?
3
Bounds3 marks
x = 146 and y = 118, each correct to the nearest whole number. Work out the upper bound of x - y.
4
Proof2 marks
In an algebraic proof, how would you write a multiple of 5 in terms of an integer n?
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 12. Work out y when x = 16.

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