Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Probability Equation Questions3 marks
A bag holds 6 red and n blue counters. The probability of taking a red is 6/13. Work out n.
- 2Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 0.5, 3, 2, 1. Which class contains the median?
- 3Bounds3 marks
A block has mass 760 g (to the nearest 10 g) and volume 8 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 4Rearranging Harder Formulae3 marks
Make x the subject of 8x + 7 = y(x + 7).
- 5Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 100. Work out y when x = 5.
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