Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
- 1Surds2 marks
Write sqrt(8) in the form a sqrt(b), where b is as small as possible.
- 2Quadratic Formula3 marks
Work out the discriminant of 4x^2 - x + 4 = 0 and say how many real solutions it has.
- 3Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 2 : 7. Write y in terms of x.
- 4Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 3. The smaller has an area of 5 cm^2. Work out the area of the larger.
- 5Conditional Probability3 marks
22 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
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