Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
23rd November 2018
- 1Surds3 marks
Rationalise the denominator of 77/sqrt(11), giving your answer in its simplest form.
- 2Inverse and Composite Functions3 marks
f(x) = 3x - 7. Work out the inverse function f^-1(x).
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 16. Work out y when x = 5.
- 4Finding the Area of Any Triangle3 marks
A triangle has sides of 13 cm and 11 cm and an area of 61.92 cm^2. Work out the acute angle between those two sides, to the nearest degree.
- 5Probability 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.
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