Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
16th April 2000
- 1Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that the alternate segment theorem is being proved. State the reason being quoted.
- 2Probability Equation Questions3 marks
A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 3/14. Work out r.
- 3Histograms2 marks
On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 4Bounds3 marks
x = 35 and y = 14, each correct to the nearest whole number. Work out the upper bound of x - y.
- 5Algebraic Fractions3 marks
Write 3/(x + 2) + 6/(x - 4) as a single fraction.
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