Daily Practice

Higher Plus

17th May 1977

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 a tangent meets a radius at the point of contact. 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) = 36/55. Work out r.
3
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 0.4, one 5 units wide with density 3.5. How many values in total?
4
Surds3 marks
Expand and simplify (9 + sqrt(5))(9 - sqrt(5)).
5
Rearranging Harder Formulae3 marks
Make x the subject of 2x + 2 = y(x + 2).

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