Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
27th December 2020
- 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 12 counters, r of them red. Two are taken without replacement and P(both red) = 1/66. Work out r.
- 3Histograms2 marks
On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 4Bounds3 marks
x = 95 and y = 40, each correct to the nearest whole number. Work out the upper bound of x - y.
- 5Inverse and Composite Functions3 marks
f(x) = 6x - 5. Work out the inverse function f^-1(x).
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