Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
26th July 2025
- 1Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = 6/x, work out y when x = 1, and write down the equation of its vertical asymptote.
- 2Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 150. Work out y when x = 8.
- 3Similar Shapes (Area and Volume)3 marks
Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 192 cm^3. Work out the volume of the smaller.
- 4Probability Trees3 marks
A bag holds 4 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.
- 5Box Plots2 marks
A box plot has minimum 12, lower quartile 20, median 26, upper quartile 36 and maximum 38. Work out the interquartile range.
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