Daily Practice

Higher

28th June 1980

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

1
Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = 90/x, work out y when x = -10, and write down the equation of its vertical asymptote.
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 200. Work out y when x = 8.
3
Similar Shapes (Area and Volume)3 marks
Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1984 cm^3. Work out the volume of the smaller.
4
Probability Trees3 marks
A bag holds 7 red and 3 blue counters. Two are taken without replacement. Work out the probability both are red.
5
Box Plots2 marks
A box plot has minimum 4, lower quartile 14, median 20, upper quartile 30 and maximum 39. Work out the interquartile range.

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