Daily Practice · Higher

Daily Practice - Higher

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

22nd September 2020

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

1
Spheres and Cones3 marks
A cone has base radius 3 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.
2
Probability Trees3 marks
A bag holds 4 red and 3 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Capture Recapture3 marks
25 beetles are marked and released. Later 42 are caught, of which 6 are marked. Estimate the population.
4
Standard Form3 marks
Work out (63 x 10^12) / (7 x 10^2). 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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