Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
31st January 2023
- 1Surds3 marks
Expand and simplify (3 + sqrt(10))(3 - sqrt(10)).
- 2Inverse and Composite Functions3 marks
f(x) = 2x - 3. Work out the inverse function f^-1(x).
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 9. Work out y when x = 3.
- 4Finding the Area of Any Triangle3 marks
A triangle has sides of 6 cm and 14 cm and an area of 21.00 cm^2. Work out the acute angle between those two sides, to the nearest degree.
- 5Probability Equation Questions3 marks
A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 2/7. Work out r.
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