Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
5th January 2015
- 1Probability Equation Questions3 marks
A bag holds 5 red and n blue counters. The probability of taking a red is 5/8. Work out n.
- 2Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 3, 1, 2, 0.5. Which class contains the median?
- 3Bounds3 marks
A block has mass 840 g (to the nearest 10 g) and volume 19 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 4Proof2 marks
In an algebraic proof, how would you write the number two more than an even number in terms of an integer n?
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 45. Work out y when x = 16.
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