Daily Practice

Higher Plus

21st May 1982

5 questions · 12 marks · Grades 8-9 · 51 question types in this band

1
Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that the alternate segment theorem is being proved. State the reason being quoted.
2
Probability Equation Questions3 marks
A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 7/12. Work out r.
3
Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
4
Surds3 marks
Rationalise the denominator of 63/sqrt(7), giving your answer in its simplest form.
5
Proof2 marks
In an algebraic proof, how would you write the next even number after 2n in terms of an integer n?

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