Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
23rd September 2023
- 1Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = -50/x, work out y when x = -10, and write down the equation of its vertical asymptote.
- 2Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 144. Work out y when x = 3.
- 3Similar Shapes (Area and Volume)3 marks
Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 304 cm^3. Work out the volume of the smaller.
- 4Probability Trees3 marks
A bag holds 7 red and 3 blue counters. Two are taken without replacement. Work out the probability both are red.
- 5Box Plots2 marks
A box plot has minimum 10, lower quartile 17, median 24, upper quartile 33 and maximum 40. Work out the interquartile range.
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