Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
29th April 2026
- 1Speed and Density2 marks
A block has volume 155 cm^3 and density 2.5 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
19 students study Spanish and 11 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 12, 8, 4, 7. Write down the cumulative frequency at the end of the third class.
- 5Reverse Percentages3 marks
A bill is £624 including VAT at 20%. Work out the amount before VAT.
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