Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
2nd January 2020
- 1Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that a radius is drawn to the midpoint of a chord. 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) = 3/28. Work out r.
- 3Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 4Surds3 marks
Simplify sqrt(12) + sqrt(12), giving your answer in the form a sqrt(b).
- 5The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts -3, 5, 21, 45. Work out the second difference, and the coefficient of n^2.
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