Daily Practice

Higher Plus

10th September 1954

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

1
Probability Equation Questions3 marks
A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 5/18. Work out r.
2
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 3, 1, 0.5, 2. Which class contains the median?
3
Surds3 marks
Rationalise the denominator of 132/sqrt(11), giving your answer in its simplest form.
4
Proof2 marks
In an algebraic proof, how would you write three consecutive even numbers in terms of an integer n?
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 25. Work out y when x = 64.

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