Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
27th August 2025
- 1Perpendicular Lines and the equation of a tangent3 marks
The point (12, 16) lies on the circle x^2 + y^2 = 400. Work out the gradient of the tangent to the circle at that point.
- 2Conditional Probability3 marks
A bag holds 7 red, 6 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 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
A rectangle is 29 cm by 12 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 5Algebraic Fractions3 marks
Simplify (x^2 - 5x - 24)/(x - 8).
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