Daily Practice

Higher Plus

6th July 1956

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 OA and OB are both radii of the circle, so triangle OAB is isosceles. State the reason being quoted.
2
Probability Equation Questions3 marks
A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 3/10. Work out r.
3
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.5, one 25 units wide with density 0.6. How many values in total?
4
Surds3 marks
Rationalise the denominator of 42/sqrt(7), giving your answer in its simplest form.
5
Iteration3 marks
Use the iteration x(n+1) = cube root of (4x(n) + 7) with x(0) = 2. Work out x(1) to 3 decimal places.

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