Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
13th June 2020
- 1Conditional Probability3 marks
A bag holds 6 red and 8 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 2Histograms3 marks
On a histogram the bar for 30 < x <= 35 has a frequency density of 2.4. How many values are in that class?
- 3Bounds3 marks
A car covers 280 m (to the nearest 10 m) in 4 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 4Transforming Graphs y=f(x)3 marks
The point (4, 6) lies on y = f(x). Write down its image on y = f(-x).
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 48. Work out y when x = 3.
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