Daily Practice

Higher Plus

21st April 1982

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 three angles of triangle OAB are being summed. State the reason being quoted.
2
Probability Equation Questions3 marks
A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 1/11. Work out r.
3
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.5, one 10 units wide with density 1.4. How many values in total?
4
Bounds3 marks
A rectangle is 28 cm by 28 cm, each correct to the nearest cm. Work out the upper bound of its area.
5
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 6, 17, 34, 57. Work out the second difference, and the coefficient of n^2.

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