Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
26th October 2013
- 1Surds2 marks
Write sqrt(12) in the form a sqrt(b), where b is as small as possible.
- 2Quadratic Formula3 marks
Work out the discriminant of x^2 - 3x + 10 = 0 and say how many real solutions it has.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 225. Work out y when x = 2.
- 4Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 2. The smaller has an area of 23 cm^2. Work out the area of the larger.
- 5Conditional Probability3 marks
30 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
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