Daily Practice · Higher Plus

Daily Practice - Higher Plus

22nd June 1993

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 OA and OB are both radii of the circle, so triangle OAB is isosceles. State the reason being quoted.
2
Probability Equation Questions3 marks
A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 1/15. Work out r.
3
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2, one 10 units wide with density 0.8. How many values in total?
4
Surds3 marks
Expand and simplify (7 + sqrt(2))(7 - sqrt(2)).
5
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 9, 30, 61, 102. Work out the second difference, and the coefficient of n^2.

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