Daily Practice

Higher Plus

1st November 1985

5 questions · 13 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 radius is drawn to the midpoint of a chord. State the reason being quoted.
2
Probability Equation Questions3 marks
A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 1/15. Work out r.
3
Histograms2 marks
On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 2. How many more values are in the wider class?
4
Surds3 marks
Rationalise the denominator of 40/sqrt(5), 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) = 4. Work out x(1) to 3 decimal places.

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