Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
- 1The Product Rule for Counting2 marks
A meal deal has 8 mains, 4 sides and 6 drinks. How many different meals are possible?
- 2Quadratic Formula3 marks
Work out the discriminant of 4x^2 - 2x + 12 = 0 and say how many real solutions it has.
- 3Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 3, y = 36. Work out y when x = 2.
- 4Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 2. The smaller has an area of 11 cm^2. Work out the area of the larger.
- 5Conditional Probability3 marks
21 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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