Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
11th March 2012
- 1Bounds3 marks
x = 130 and y = 100, each correct to the nearest whole number. Work out the upper bound of x - y.
- 2Inverse and Composite Functions3 marks
f(x) = 7x - 12. 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 = 24. Work out y when x = 3.
- 4The Cosine Rule3 marks
A triangle has sides 15 cm, 8 cm and 12 cm. Work out the angle opposite the 15 cm side, to 1 decimal place.
- 5Probability Equation Questions3 marks
A bag holds 5 red and n blue counters. The probability of taking a red is 1/2. Work out n.
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