Daily Practice

Higher

12th December 1959

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 : 4. The larger has a volume of 2432 cm^3. Work out the volume of the smaller.
2
Probability Trees3 marks
A bag holds 3 red and 8 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Box Plots2 marks
A box plot has minimum 14, lower quartile 22, median 27, upper quartile 35 and maximum 37. Work out the interquartile range.
4
Standard Form2 marks
Work out (5 x 10^3) x (2 x 10^3). Give your answer in standard form.
5
Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = -100/x, work out y when x = 10, and write down the equation of its vertical asymptote.

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