Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
12th March 2007
- 1Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 6 wins. How many games did they play?
- 2Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 3, 2, 1, 0.5. Which class contains the median?
- 3Bounds3 marks
A block has mass 750 g (to the nearest 10 g) and volume 4 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 product of two consecutive integers in terms of an integer n?
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 24. Work out y when x = 25.
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