Daily Practice

Higher Plus

7th August 1990

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 opposite angles of a cyclic quadrilateral are 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) = 1/6. Work out r.
3
Histograms2 marks
On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 2. How many more values are in the wider class?
4
Surds3 marks
Expand and simplify (3 + sqrt(5))(3 - sqrt(5)).
5
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence -7, -3, 7, 23, ...

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