Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
13th April 2023
- 1Standard Form2 marks
Work out (8 x 10^7) x (8 x 10^-5). Give your answer in standard form.
- 2Quadratic Formula3 marks
Work out the discriminant of 4x^2 - 6x + 9 = 0 and say how many real solutions it has.
- 3Repeated Percentage Change3 marks
A town's population is 39500 and grows by 3% each year. Work out the population after 2 years, to the nearest whole number.
- 4Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 5. The smaller has an area of 29 cm^2. Work out the area of the larger.
- 5Conditional Probability3 marks
21 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
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