Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
17th December 2025
- 1Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = -8/x, work out y when x = -2, and write down the equation of its vertical asymptote.
- 2Speed and Density2 marks
A block has volume 65 cm^3 and density 8 g/cm^3. Work out its mass.
- 3Similar Shapes (Area and Volume)3 marks
Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 918 cm^3. Work out the volume of the smaller.
- 4Probability Trees3 marks
A bag holds 4 red and 6 blue counters. Two are taken without replacement. Work out the probability both are red.
- 5Cumulative Frequency2 marks
Four classes in order have frequencies 6, 11, 10, 6. Write down the cumulative frequency at the end of the third class.
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