Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
1st February 2006
- 1Speed and Density2 marks
A block has volume 165 cm^3 and density 7.5 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
12 students study Spanish and 7 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 10, 3, 10, 8. Write down the cumulative frequency at the end of the third class.
- 5Reverse Percentages3 marks
A bill is £288 including VAT at 20%. Work out the amount before VAT.
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Every sheet is deterministic: the same date always regenerates the same five questions. All of February 2006, including the monthly compilation PDF.