Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
12th September 2005
- 1Probability Equation Questions3 marks
A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 1/12. Work out r.
- 2Histograms3 marks
On a histogram the bar for 30 < x <= 50 has a frequency density of 1.2. How many values are in that class?
- 3Bounds3 marks
A block has mass 870 g (to the nearest 10 g) and volume 13 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 4Trigonometric and Exponential Graphs2 marks
The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 360.
- 5Velocity Time Graphs2 marks
A train slows steadily from 27 m/s to rest in 10 seconds. Work out its deceleration.
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