Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Probability Equation Questions3 marks
A bag holds 2 red and n blue counters. The probability of taking a red is 1/5. Work out n.
- 2Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 0.5, 3, 2, 1. Which class contains the median?
- 3Bounds3 marks
A block has mass 670 g (to the nearest 10 g) and volume 17 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 4Factorising Harder Quadratics3 marks
Solve 6x^2 + 13x + 6 = 0.
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 30. Work out y when x = 49.
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