Daily Practice

Higher Plus

13th October 1983

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 9 counters, r of them red. Two are taken without replacement and P(both red) = 5/12. Work out r.
3
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2, one 25 units wide with density 0.6. How many values in total?
4
Surds3 marks
Simplify sqrt(48) + sqrt(12), giving your answer in the form a sqrt(b).
5
Proof2 marks
In an algebraic proof, how would you write the square of an odd number in terms of an integer n?

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