Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Bounds3 marks
x = 162 and y = 52, each correct to the nearest whole number. Work out the upper bound of x - y.
- 2Inverse and Composite Functions3 marks
f(x) = 4x + 9 and g(x) = 4x + 3. Work out fg(4).
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 20. Work out y when x = 81.
- 4The Cosine Rule3 marks
A triangle has sides 12 cm, 10 cm and 7 cm. Work out the angle opposite the 12 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 6/11. Work out n.
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