Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
30th March 2015
- 1Probability Equation Questions3 marks
The probability of winning a game is 1/10. A player expects 10 wins. How many games did they play?
- 2Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 1, 0.5, 2, 3. Which class contains the median?
- 3Bounds3 marks
A block has mass 340 g (to the nearest 10 g) and volume 9 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 + 8x - 7 in the form (x + a)^2 + b.
- 5Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 12. Work out y when x = 2.
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