Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
3rd January 2007
- 1Speed and Density2 marks
A block has volume 120 cm^3 and density 4 g/cm^3. Work out its mass.
- 2Perpendicular Lines and the equation of a tangent2 marks
A line has gradient 3. Work out the gradient of a line perpendicular to it.
- 3Conditional Probability3 marks
10 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4Cumulative Frequency2 marks
Four classes in order have frequencies 4, 3, 9, 9. Write down the cumulative frequency at the end of the third class.
- 5The 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?
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