Daily Practice

Higher Plus

9th June 1984

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 the three angles of triangle OAB are being summed. 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
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.2, one 10 units wide with density 1.4. How many values in total?
4
Bounds3 marks
A car covers 450 m (to the nearest 10 m) in 3 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 (9x(n) + 1) with x(0) = 2. Work out x(1) to 3 decimal places.

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