Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
28th April 2001
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 8. Work out y when x = 25.
- 2The Cosine Rule3 marks
A triangle has sides 14 cm, 12 cm and 7 cm. Work out the angle opposite the 14 cm side, to 1 decimal place.
- 3Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 7/9. Work out n.
- 4Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 1, 3, 2, 0.5. Which class contains the median?
- 5Bounds3 marks
A car covers 340 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.
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