Daily Practice

Higher Plus

23rd January 1976

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 triangle is drawn from the ends of a diameter to a point on the circle. State the reason being quoted.
2
Probability Equation Questions3 marks
A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 5/18. Work out r.
3
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 0.4, one 20 units wide with density 0.8. How many values in total?
4
Surds3 marks
Rationalise the denominator of 18/sqrt(3), giving your answer in its simplest form.
5
Iteration3 marks
Use the iteration x(n+1) = cube root of (12x(n) + 2) with x(0) = 2. Work out x(1) to 3 decimal places.

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