Daily Practice

Higher Plus

15th October 1954

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 the exterior angle of a cyclic quadrilateral is being found. 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) = 5/18. Work out r.
3
Histograms2 marks
On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
4
Surds3 marks
Rationalise the denominator of 66/sqrt(6), giving your answer in its simplest form.
5
Factorising Harder Quadratics3 marks
Solve 5x^2 - 6x + 1 = 0.

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