Daily Practice

Higher

6th May 1978

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 1152 cm^3. Work out the volume of the smaller.
2
Probability Trees3 marks
A bag holds 6 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Box Plots2 marks
A box plot has minimum 7, lower quartile 15, median 22, upper quartile 31 and maximum 38. Work out the interquartile range.
4
Bounds2 marks
A mass is 40 kg, correct to the nearest 10. Write down the lower bound.
5
Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = 25/x, work out y when x = -5, and write down the equation of its vertical asymptote.

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