Daily Practice

Higher Plus

13th September 1983

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 a radius is drawn to the midpoint of a chord. 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) = 15/22. Work out r.
3
Histograms2 marks
On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 3. How many more values are in the wider class?
4
Surds3 marks
Expand and simplify (3 + sqrt(3))(3 - sqrt(3)).
5
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 9, 20, 39, 66. Work out the second difference, and the coefficient of n^2.

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