Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
30th December 2019
- 1Bounds3 marks
A block has mass 380 g (to the nearest 10 g) and volume 14 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 2Factorising Harder Quadratics3 marks
Solve 8x^2 + 6x - 5 = 0.
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 16. Work out y when x = 2.
- 4The Cosine Rule3 marks
A triangle has sides 13 cm, 15 cm and 7 cm. Work out the angle opposite the 13 cm side, to 1 decimal place.
- 5Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 1/2. Work out n.
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