Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
7th October 2012
- 1Bounds2 marks
A mass is 140 kg, correct to the nearest 10. Write down the lower bound.
- 2Quadratic Formula3 marks
Work out the discriminant of 3x^2 - 6x + 11 = 0 and say how many real solutions it has.
- 3Direct and Inverse Proportion3 marks
y is inversely proportional to x. When x = 9, y = 15. Work out y when x = 3.
- 4Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 5. The smaller has an area of 15 cm^2. Work out the area of the larger.
- 5Conditional Probability3 marks
28 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
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