Daily Practice

Higher Plus

10th October 1972

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 two angles at the circumference stand on the same arc. State the reason being quoted.
2
Probability Equation Questions3 marks
A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 21/55. Work out r.
3
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2.5, one 25 units wide with density 1.4. How many values in total?
4
Surds3 marks
Expand and simplify (2 + sqrt(5))(2 - sqrt(5)).
5
Inverse and Composite Functions3 marks
f(x) = 6x - 8 and g(x) = 3x + 1. Work out fg(6).

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