Daily Practice · Higher

Daily Practice - Higher

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

7th October 2008

5 questions · 14 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 12 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
50 beetles are marked and released. Later 81 are caught, of which 9 are marked. Estimate the population.
4
Reverse Percentages3 marks
A bill is £792 including VAT at 20%. Work out the amount before VAT.
5
Inequalities on Graphs2 marks
A region is defined by y < -5x + 6. Should the boundary line be solid or dashed, and why?

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