Daily Practice

Higher Plus

18th May 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 a triangle is drawn from the ends of a diameter to a point on the circle. 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) = 1/10. Work out r.
3
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.5, one 5 units wide with density 3.5. How many values in total?
4
Surds3 marks
Expand and simplify (6 + sqrt(6))(6 - sqrt(6)).
5
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 3, 21, 49, 87. Work out the second difference, and the coefficient of n^2.

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