Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
15th April 2013
- 1Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 8/11. Work out n.
- 2Histograms3 marks
On a histogram the bar for 10 < x <= 30 has a frequency density of 1.2. How many values are in that class?
- 3Bounds3 marks
A block has mass 610 g (to the nearest 10 g) and volume 11 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 4Completing the Square3 marks
Write x^2 + 4x - 9 in the form (x + a)^2 + b.
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 162. Work out y when x = 2.
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