Daily Practice

Higher Plus

27th November 1980

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 two angles at the circumference stand on the same arc. State the reason being quoted.
2
Probability Equation Questions3 marks
A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 1/45. Work out r.
3
Histograms2 marks
On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 2. How many more values are in the wider class?
4
Surds3 marks
Simplify sqrt(45) + sqrt(80), giving your answer in the form a sqrt(b).
5
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 7, 11, 17, 25. Work out the second difference, and the coefficient of n^2.

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