Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
21st March 2025
- 1Surds3 marks
Rationalise the denominator of 66/sqrt(6), giving your answer in its simplest form.
- 2Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 14x + 7.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 25. Work out y when x = 81.
- 4Finding the Area of Any Triangle3 marks
A triangle has sides of 16 cm and 7 cm and an area of 48.50 cm^2. Work out the acute angle between those two sides, to the nearest degree.
- 5Probability Equation Questions3 marks
A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 1/10. Work out r.
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