Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
15th November 2025
- 1Box Plots2 marks
A box plot has minimum 2, lower quartile 5, median 13, upper quartile 23 and maximum 30. Work out the interquartile range.
- 2Reverse Percentages3 marks
A bill is £528 including VAT at 20%. Work out the amount before VAT.
- 3Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = 35/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 72. Work out y when x = 6.
- 5Similar Shapes (Area and Volume)3 marks
Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 184 cm^3. Work out the volume of the smaller.
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