Daily Practice

Higher Plus

12th February 1955

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 two tangents are drawn to a circle from the same external point. State the reason being quoted.
2
Probability Equation Questions3 marks
A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 2/9. Work out r.
3
Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
4
Bounds3 marks
A car covers 120 m (to the nearest 10 m) in 8 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
5
Iteration3 marks
Use the iteration x(n+1) = cube root of (7x(n) + 3) with x(0) = 2. Work out x(1) to 3 decimal places.

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