Daily Practice · Higher

Daily Practice - Higher

Grades 6-7 - Higher-tier method and manipulation.

10th December 1999

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

1
Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = 20/x, work out y when x = 5, and write down the equation of its vertical asymptote.
2
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 4, y = 32. Work out y when x = 9.
3
Similar Shapes (Area and Volume)3 marks
Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 297 cm^3. Work out the volume of the smaller.
4
Probability Trees3 marks
A bag holds 5 red and 6 blue counters. Two are taken without replacement. Work out the probability both are red.
5
Capture Recapture2 marks
A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.

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