Daily Practice

Higher Plus

29th July 1986

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 two angles at the circumference stand on the same arc. State the reason being quoted.
2
Probability Equation Questions3 marks
A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 2/15. Work out r.
3
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 1.2, one 20 units wide with density 0.8. How many values in total?
4
Surds3 marks
Expand and simplify (8 + sqrt(7))(8 - sqrt(7)).
5
Proof2 marks
In an algebraic proof, how would you write an even number in terms of an integer n?

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