Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 252. Work out y when x = 7.
- 2Perpendicular Lines and the equation of a tangent2 marks
A line has gradient -3. Work out the gradient of a line perpendicular to it.
- 3Conditional Probability3 marks
20 students study Spanish and 6 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 5, lower quartile 15, median 17, upper quartile 20 and maximum 24. Work out the interquartile range.
- 5Fractional and Negative Indices3 marks
Work out 49^(3/2).
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