Daily Practice

Higher Plus

14th May 1989

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 alternate segment theorem is being proved. State the reason being quoted.
2
Probability Equation Questions3 marks
A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 15/28. Work out r.
3
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2.5, one 5 units wide with density 0.8. How many values in total?
4
Bounds3 marks
x = 73 and y = 58, each correct to the nearest whole number. Work out the upper bound of x - y.
5
Proof2 marks
In an algebraic proof, how would you write an odd number in terms of an integer n?

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