Daily Practice

Higher Plus

26th August 1975

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 tangents are drawn to a circle from the same external point. State the reason being quoted.
2
Probability Equation Questions3 marks
A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 3/10. 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 (9 + sqrt(5))(9 - sqrt(5)).
5
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 12x + 10.

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