Daily Practice

Higher

14th March 1988

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 1664 cm^3. Work out the volume of the smaller.
2
Probability Trees3 marks
A bag holds 6 red and 2 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Cumulative Frequency2 marks
A cumulative frequency graph is drawn for 116 values. What cumulative frequency do you read across from to estimate the lower quartile?
4
Standard Form3 marks
Work out (49 x 10^8) / (7 x 10^2). Give your answer in standard form.
5
Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = -4/x, work out y when x = 1, and write down the equation of its vertical asymptote.

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