Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
8th January 2024
- 1Bounds3 marks
A block has mass 490 g (to the nearest 10 g) and volume 4 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 2Inverse and Composite Functions3 marks
f(x) = 5x + 1 and g(x) = 4x + 6. Work out fg(3).
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 3.
- 4The Cosine Rule3 marks
A triangle has sides 14 cm, 13 cm and 9 cm. Work out the angle opposite the 14 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 5/11. Work out n.
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