Daily Practice

Higher

6th December 1986

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

1
Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = -4/x, work out y when x = 4, 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 = 6, y = 180. Work out y when x = 9.
3
Similar Shapes (Area and Volume)3 marks
Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 48 cm^3. Work out the volume of the smaller.
4
Probability Trees3 marks
A bag holds 8 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.
5
Box Plots2 marks
A box plot has minimum 3, lower quartile 9, median 14, upper quartile 18 and maximum 22. Work out the interquartile range.

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