Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 75. Work out y when x = 5.
- 2The Cosine Rule3 marks
A triangle has sides of 14 cm and 18 cm with an angle of 90° between them. Work out the third side, to 1 decimal place.
- 3Conditional Probability3 marks
A bag holds 4 red, 6 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 4Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 0.5, 1, 2, 3. Which class contains the median?
- 5Bounds3 marks
A rectangle is 5 cm by 9 cm, each correct to the nearest cm. Work out the upper bound of its area.
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