Daily Practice

Higher Plus

12th May 1978

5 questions · 14 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) = 1/22. Work out r.
3
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2.5, one 10 units wide with density 0.8. How many values in total?
4
Surds3 marks
Rationalise the denominator of 25/sqrt(5), giving your answer in its simplest form.
5
Inverse and Composite Functions3 marks
f(x) = 2x - 3 and g(x) = 4x - 5. Work out fg(6).

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