Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
4th October 2024
- 1Surds3 marks
Rationalise the denominator of 16/sqrt(2), giving your answer in its simplest form.
- 2Inverse and Composite Functions3 marks
f(x) = 3x + 2. Work out the inverse function f^-1(x).
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 24. Work out y when x = 4.
- 4The Cosine Rule3 marks
A triangle has sides 14 cm, 7 cm and 10 cm. Work out the angle opposite the 14 cm side, to 1 decimal place.
- 5Probability Equation Questions3 marks
A bag holds 6 red and n blue counters. The probability of taking a red is 1/2. Work out n.
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