Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
1st December 2019
- 1Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = 16/x, work out y when x = 4, and write down the equation of its vertical asymptote.
- 2Direct and Inverse Proportion3 marks
y is inversely proportional to x. When x = 5, y = 6. Work out y when x = 3.
- 3Similar Shapes (Area and Volume)3 marks
Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1856 cm^3. Work out the volume of the smaller.
- 4Probability Trees3 marks
A bag holds 7 red and 5 blue counters. Two are taken without replacement. Work out the probability both are red.
- 5Box Plots2 marks
A box plot has a minimum of 19 and a maximum of 53. Work out the range.
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Every sheet is deterministic: the same date always regenerates the same five questions. All of December 2019, including the monthly compilation PDF.