Daily Practice · Higher

Daily Practice - Higher

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

5th January 2024

5 questions · 13 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 3 cm. Work out its volume, leaving your answer in terms of pi.
2
Probability Trees3 marks
A bag holds 5 red and 7 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 newt population of a stream. State one assumption the method relies on.
4
Fractional and Negative Indices3 marks
Work out 27^(2/3).
5
Inequalities on Graphs2 marks
A region is defined by y <= -3x + 8. Should the boundary line be solid or dashed, and why?

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