Daily Practice

Higher

21st April 1990

5 questions · 12 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 : 2. The larger has a volume of 56 cm^3. Work out the volume of the smaller.
2
Probability Trees3 marks
A bag holds 4 red and 5 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Box Plots2 marks
A box plot has minimum 4, lower quartile 12, median 17, upper quartile 22 and maximum 24. Work out the interquartile range.
4
Standard Form2 marks
Work out (4 x 10^4) x (2 x 10^5). Give your answer in standard form.
5
Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = 4/x, work out y when x = -2, and write down the equation of its vertical asymptote.

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