Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
- 1The Product Rule for Counting2 marks
A meal deal has 7 mains, 9 sides and 2 drinks. How many different meals are possible?
- 2Quadratic Formula3 marks
Work out the discriminant of 2x^2 - 5x + 6 = 0 and say how many real solutions it has.
- 3Repeated Percentage Change3 marks
A town's population is 26000 and grows by 6% each year. Work out the population after 6 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 22 cm^2. Work out the area of the larger.
- 5Conditional Probability3 marks
19 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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