Daily Practice

Higher Plus

6th March 1985

5 questions · 12 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 alternate segment theorem is being proved. 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
Histograms2 marks
On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 3. How many more values are in the wider class?
4
Bounds3 marks
A rectangle is 22 cm by 30 cm, each correct to the nearest cm. Work out the upper bound of its area.
5
Proof2 marks
In an algebraic proof, how would you write a number that leaves a remainder of 1 when divided by 5 in terms of an integer n?

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