Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
7th October 2025
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 36. Work out y when x = 4.
- 2Finding the Area of Any Triangle3 marks
A triangle has sides of 11 cm and 13 cm and an area of 50.56 cm^2. Work out the acute angle between those two sides, to the nearest degree.
- 3Probability Equation Questions3 marks
A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 1/15. Work out r.
- 4Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 1, 0.5, 2, 3. Which class contains the median?
- 5Surds3 marks
Expand and simplify (4 + sqrt(6))(4 - sqrt(6)).
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