Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
22nd October 2023
- 1Fractional and Negative Indices2 marks
Write 8^-1 as a fraction.
- 2Quadratic Formula3 marks
Use the quadratic formula to solve 4x^2 - 9x - 12 = 0, to 2 decimal places.
- 3Direct and Inverse Proportion3 marks
y is inversely proportional to x. When x = 7, y = 6. Work out y when x = 2.
- 4Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 4. The smaller has an area of 10 cm^2. Work out the area of the larger.
- 5Conditional Probability3 marks
21 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
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