Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
10th September 2008
- 1The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 2Quadratic Formula3 marks
Work out the discriminant of 2x^2 - 9x + 12 = 0 and say how many real solutions it has.
- 3Speed and Density2 marks
A block has volume 195 cm^3 and density 8 g/cm^3. Work out its mass.
- 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
24 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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