Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
2nd December 2019
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 20. Work out y when x = 4.
- 2The Cosine Rule3 marks
A triangle has sides of 13 cm and 14 cm with an angle of 75° between them. Work out the third side, to 1 decimal place.
- 3Conditional Probability3 marks
A bag holds 4 red, 4 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 4Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 3, 2, 0.5, 1. Which class contains the median?
- 5Bounds3 marks
A block has mass 380 g (to the nearest 10 g) and volume 10 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
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