Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
3rd August 2025
- 1Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that the angle in a semicircle is being proved. 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) = 28/45. Work out r.
- 3Histograms2 marks
On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 4Bounds3 marks
x = 61 and y = 28, each correct to the nearest whole number. Work out the upper bound of x - y.
- 5The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 5, 19, 39, 65. Work out the second difference, and the coefficient of n^2.
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