Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
19th December 2021
- 1Bounds3 marks
x = 110 and y = 87, each correct to the nearest whole number. Work out the upper bound of x - y.
- 2Inverse and Composite Functions3 marks
f(x) = 8x + 8. 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 = 75. Work out y when x = 5.
- 4The Cosine Rule3 marks
A triangle has sides 6 cm, 10 cm and 7 cm. Work out the angle opposite the 6 cm side, to 1 decimal place.
- 5Probability Equation Questions3 marks
A bag holds 3 red and n blue counters. The probability of taking a red is 3/7. Work out n.
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