Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
15th February 2017
- 1Speed and Density2 marks
A block has volume 45 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 -2. Work out the gradient of a line perpendicular to it.
- 3Conditional Probability3 marks
22 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 9, 11, 8, 7. Write down the cumulative frequency at the end of the third class.
- 5The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
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