Daily Practice

Higher

9th January 1982

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

1
Similar Shapes (Area and Volume)3 marks
Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 810 cm^3. Work out the volume of the smaller.
2
Probability Trees3 marks
A bag holds 5 red and 3 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Box Plots2 marks
A box plot has minimum 12, lower quartile 18, median 27, upper quartile 31 and maximum 33. Work out the interquartile range.
4
Reverse Percentages3 marks
A bill is £648 including VAT at 20%. Work out the amount before VAT.
5
Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = -5/x, work out y when x = 1, and write down the equation of its vertical asymptote.

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