Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
31st October 1998
- 1Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 4/7. Work out n.
- 2Histograms3 marks
On a histogram the bar for 40 < x <= 60 has a frequency density of 3.5. How many values are in that class?
- 3Bounds3 marks
A car covers 610 m (to the nearest 10 m) in 7 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 4Rearranging Harder Formulae3 marks
Make x the subject of 6x + 4 = y(x + 4).
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 108. Work out y when x = 2.
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