Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
2nd November 2019
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 256. Work out y when x = 3.
- 2The Cosine Rule3 marks
A triangle has sides of 12 cm and 9 cm with an angle of 84° between them. Work out the third side, to 1 decimal place.
- 3Conditional Probability3 marks
A bag holds 5 red, 7 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 4Histograms3 marks
On a histogram the bar for 60 < x <= 80 has a frequency density of 0.4. How many values are in that class?
- 5Bounds3 marks
A car covers 720 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.
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