Daily Practice

Higher Plus

19th January 1971

5 questions · 13 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 two angles at the circumference stand on the same arc. State the reason being quoted.
2
Probability Equation Questions3 marks
A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 7/22. Work out r.
3
Histograms2 marks
On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
4
Surds3 marks
Expand and simplify (9 + sqrt(3))(9 - sqrt(3)).
5
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 11, 16, 23, 32, ...

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