Daily Practice

Higher

5th August 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 : 3. The larger has a volume of 1080 cm^3. Work out the volume of the smaller.
2
Probability Trees3 marks
A bag holds 7 red and 5 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Capture Recapture2 marks
A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
4
Fractional and Negative Indices3 marks
Work out 36^(3/2).
5
Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = -44/x, work out y when x = -4, and write down the equation of its vertical asymptote.

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