Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
17th September 2022
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 32. Work out y when x = 9.
- 2Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 3. The smaller has an area of 9 cm^2. Work out the area of the larger.
- 3Conditional Probability3 marks
24 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4Box Plots2 marks
A box plot has minimum 8, lower quartile 15, median 22, upper quartile 31 and maximum 33. Work out the interquartile range.
- 5Reverse Percentages3 marks
A bill is £264 including VAT at 20%. Work out the amount before VAT.
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