Daily Practice · Higher

Daily Practice - Higher

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

5th December 2006

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

1
Spheres and Cones3 marks
A cone has base radius 6 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
2
Probability Trees3 marks
A bag holds 5 red and 6 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Capture Recapture3 marks
30 beetles are marked and released. Later 60 are caught, of which 5 are marked. Estimate the population.
4
Standard Form2 marks
Work out (3 x 10^8) x (6 x 10^-5). Give your answer in standard form.
5
Inequalities on Graphs2 marks
A region is defined by y <= -3x - 6. Should the boundary line be solid or dashed, and why?

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