Daily Practice · Higher

Daily Practice - Higher

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

27th December 2011

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 1026 cm^3. Work out the volume of the smaller.
2
Probability Trees3 marks
A bag holds 3 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Capture Recapture3 marks
20 newts are marked and released. Later 18 are caught, of which 6 are marked. Estimate the population.
4
Standard Form2 marks
Work out (9 x 10^3) x (3 x 10^-5). Give your answer in standard form.
5
Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = -8/x, work out y when x = -1, and write down the equation of its vertical asymptote.

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