Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
25th February 2006
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 324. Work out y when x = 7.
- 2Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 3. The smaller has an area of 24 cm^2. Work out the area of the larger.
- 3Conditional Probability3 marks
18 students study Spanish and 3 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 10, lower quartile 17, median 20, upper quartile 25 and maximum 27. Work out the interquartile range.
- 5Fractional and Negative Indices3 marks
Work out 125^(2/3).
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