Daily Practice

Higher Plus

28th October 1980

5 questions · 14 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 9 counters, r of them red. Two are taken without replacement and P(both red) = 5/18. Work out r.
3
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 0.4, one 20 units wide with density 3. How many values in total?
4
Surds3 marks
Expand and simplify (2 + sqrt(2))(2 - sqrt(2)).
5
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 8, 12, 18, 26, ...

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