Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
4th December 2013
- 1Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that the three angles of triangle OAB are being summed. State the reason being quoted.
- 2Probability Equation Questions3 marks
A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 6/55. Work out r.
- 3Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 4Bounds3 marks
A rectangle is 16 cm by 19 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 5Algebraic Fractions3 marks
Simplify (x^2 - x - 56)/(x - 8).
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