Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
4th September 2023
- 1Reverse Percentages3 marks
A bill is £888 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.
- 3Repeated Percentage Change3 marks
A price rises by 10% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 4Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 4. The smaller has an area of 13 cm^2. Work out the area of the larger.
- 5Conditional Probability3 marks
20 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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