Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
7th August 1999
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 384. Work out y when x = 3.
- 2The Cosine Rule3 marks
A triangle has sides 8 cm, 6 cm and 6 cm. Work out the angle opposite the 8 cm side, to 1 decimal place.
- 3Probability Equation Questions3 marks
A bag holds 3 red and n blue counters. The probability of taking a red is 3/11. Work out n.
- 4Histograms3 marks
On a histogram the bar for 0 < x <= 10 has a frequency density of 3.5. How many values are in that class?
- 5Bounds3 marks
A car covers 670 m (to the nearest 10 m) in 9 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
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