Daily Practice

Higher Plus

6th September 1990

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 a tangent meets a radius at the point of contact. 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) = 2/5. Work out r.
3
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 0.4, one 20 units wide with density 3. How many values in total?
4
Surds3 marks
Simplify sqrt(27) + sqrt(12), giving your answer in the form a sqrt(b).
5
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 2, 12, 30, 56. Work out the second difference, and the coefficient of n^2.

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