Daily Practice

Higher

30th July 1980

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 : 4. The larger has a volume of 1984 cm^3. Work out the volume of the smaller.
2
Probability Trees3 marks
A bag holds 6 red and 5 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Cumulative Frequency2 marks
Four classes in order have frequencies 10, 11, 12, 9. Write down the cumulative frequency at the end of the third class.
4
Reverse Percentages3 marks
A bill is £384 including VAT at 20%. Work out the amount before VAT.
5
Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = -32/x, work out y when x = 4, and write down the equation of its vertical asymptote.

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