Daily Practice

Higher Plus

20th September 1953

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 angle in a semicircle is being proved. 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) = 1/10. Work out r.
3
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2, one 5 units wide with density 1.4. How many values in total?
4
Bounds3 marks
x = 172 and y = 72, each correct to the nearest whole number. Work out the upper bound of x - y.
5
Iteration3 marks
Use the iteration x(n+1) = cube root of (5x(n) + 1) with x(0) = 2. Work out x(1) to 3 decimal places.

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