Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
2nd February 2013
- 1Probability Equation Questions3 marks
A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 1/66. Work out r.
- 2Histograms3 marks
On a histogram the bar for 40 < x <= 60 has a frequency density of 1.5. How many values are in that class?
- 3Bounds3 marks
A car covers 710 m (to the nearest 10 m) in 6 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 4Algebraic Fractions3 marks
Write 7/(x - 2) + 3/(x - 4) as a single fraction.
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 54. Work out y when x = 4.
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