Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
- 1Reverse Percentages3 marks
A bill is £408 including VAT at 20%. Work out the amount before VAT.
- 2Quadratic Formula3 marks
Use the quadratic formula to solve 2x^2 - 6x + 3 = 0, to 2 decimal places.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 8. Work out y when x = 7.
- 4Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 4. The smaller has an area of 14 cm^2. Work out the area of the larger.
- 5Conditional Probability3 marks
25 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
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