Daily Practice

Higher Plus

17th December 1982

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 opposite angles of a cyclic quadrilateral are 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) = 5/22. Work out r.
3
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2.5, one 20 units wide with density 3.5. How many values in total?
4
Surds3 marks
Rationalise the denominator of 35/sqrt(5), giving your answer in its simplest form.
5
Rearranging Harder Formulae3 marks
Make x the subject of 4x + 3 = y(x + 3).

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