Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
20th February 2022
- 1Proof 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.
- 2Probability Equation Questions3 marks
A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 2/15. Work out r.
- 3Histograms2 marks
On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 4Bounds3 marks
x = 194 and y = 77, each correct to the nearest whole number. Work out the upper bound of x - y.
- 5Iteration3 marks
Use the iteration x(n+1) = cube root of (12x(n) + 8) with x(0) = 4. Work out x(1) to 3 decimal places.
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