Daily Practice · Higher

Daily Practice - Higher

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

26th July 2022

5 questions · 14 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 21 cm. Work out its volume, leaving your answer in terms of pi.
2
Probability Trees3 marks
A bag holds 5 red and 3 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Capture Recapture3 marks
10 newts are marked and released. Later 48 are caught, of which 6 are marked. Estimate the population.
4
Fractional and Negative Indices3 marks
Work out 25^(3/2).
5
Inequalities on Graphs2 marks
A region is defined by y <= 4x - 9. Should the boundary line be solid or dashed, and why?

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