Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
17th February 2001
- 1Probability Equation Questions3 marks
A bag holds 4 red and n blue counters. The probability of taking a red is 4/11. Work out n.
- 2Histograms3 marks
On a histogram the bar for 50 < x <= 60 has a frequency density of 3.5. How many values are in that class?
- 3Bounds3 marks
A car covers 630 m (to the nearest 10 m) in 3 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 4Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 225 and y = x + 3 simultaneously.
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 256. Work out y when x = 2.
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