Daily Practice

Higher Plus

23rd June 1970

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 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 5 counters, r of them red. Two are taken without replacement and P(both red) = 3/10. Work out r.
3
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2, one 20 units wide with density 3. How many values in total?
4
Surds3 marks
Expand and simplify (3 + sqrt(3))(3 - sqrt(3)).
5
Iteration3 marks
Use the iteration x(n+1) = cube root of (9x(n) + 4) with x(0) = 2. Work out x(1) to 3 decimal places.

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