Daily Practice

Higher Plus

8th June 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 11 counters, r of them red. Two are taken without replacement and P(both red) = 21/55. 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
Rationalise the denominator of 10/sqrt(5), giving your answer in its simplest form.
5
Completing the Square3 marks
Write x^2 - 14x + 12 in the form (x + a)^2 + b.

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