Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
22nd November 2017
- 1Reverse Percentages3 marks
A bill is £696 including VAT at 20%. Work out the amount before VAT.
- 2Quadratic Formula3 marks
Work out the discriminant of x^2 - 4x + 7 = 0 and say how many real solutions it has.
- 3Speed and Density2 marks
A block has volume 20 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 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
27 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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