Daily Practice

Higher

29th August 1985

5 questions · 12 marks · Grades 6-7 · 61 question types in this band

1
Histograms2 marks
A histogram class is 4 units wide and contains 12 values. Work out the frequency density.
2
Surds2 marks
Write sqrt(18) in the form a sqrt(b), where b is as small as possible.
3
Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = 45/x, work out y when x = 5, and write down the equation of its vertical asymptote.
4
Repeated Percentage Change3 marks
A town's population is 4500 and grows by 4% each year. Work out the population after 4 years, to the nearest whole number.
5
Similar Shapes (Area and Volume)3 marks
Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 16 cm^3. Work out the volume of the smaller.

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