Daily Practice

Higher Plus

1st August 1974

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 11 counters, r of them red. Two are taken without replacement and P(both red) = 1/55. Work out r.
3
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.5, one 25 units wide with density 1.4. How many values in total?
4
Surds3 marks
Simplify sqrt(75) + sqrt(27), giving your answer in the form a sqrt(b).
5
Rearranging Harder Formulae3 marks
Make x the subject of 8x + 3 = y(x + 3).

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