Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
- 1Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.8989... as a fraction in its simplest form.
- 2Quadratic Formula3 marks
Use the quadratic formula to solve 3x^2 + 10x + 6 = 0, to 2 decimal places.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 63. Work out y when x = 6.
- 4Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 4. The smaller has an area of 17 cm^2. Work out the area of the larger.
- 5Conditional Probability3 marks
21 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
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