Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
9th December 2012
- 1Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that opposite angles of a cyclic quadrilateral are being proved. State the reason being quoted.
- 2Probability Equation Questions3 marks
A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 5/33. Work out r.
- 3Histograms2 marks
On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 4Bounds3 marks
x = 63 and y = 31, each correct to the nearest whole number. Work out the upper bound of x - y.
- 5The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 4, 5, 10, 19, ...
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