Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Bounds3 marks
A car covers 900 m (to the nearest 10 m) in 8 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 2Inverse and Composite Functions3 marks
f(x) = 5x - 10. Work out the inverse function f^-1(x).
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 192. Work out y when x = 3.
- 4The Cosine Rule3 marks
A triangle has sides 16 cm, 10 cm and 14 cm. Work out the angle opposite the 16 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 5/13. Work out n.
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