Daily Practice · Higher

Daily Practice - Higher

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

3rd April 1998

5 questions · 12 marks · Grades 6-7 · 61 question types in this band

1
Spheres and Cones3 marks
A cone has base radius 2 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
2
Probability Trees3 marks
A bag holds 5 red and 4 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 fish population of a pond. State one assumption the method relies on.
4
Standard Form2 marks
Work out (4 x 10^5) x (2 x 10^-6). Give your answer in standard form.
5
Inequalities on Graphs2 marks
A region is defined by y < -3x - 7. Should the boundary line be solid or dashed, and why?

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