Daily Practice

Higher Plus

30th May 1986

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 7 counters, r of them red. Two are taken without replacement and P(both red) = 10/21. Work out r.
3
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.2, one 5 units wide with density 3.5. How many values in total?
4
Surds3 marks
Rationalise the denominator of 42/sqrt(6), giving your answer in its simplest form.
5
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence -3, 0, 5, 12, ...

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