Daily Practice · Higher

Daily Practice - Higher

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

16th November 2005

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

1
Spheres and Cones3 marks
A cone has base radius 8 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
2
Probability Trees3 marks
A bag holds 8 red and 3 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Cumulative Frequency2 marks
Four classes in order have frequencies 10, 7, 10, 5. Write down the cumulative frequency at the end of the third class.
4
Reverse Percentages3 marks
A bill is £864 including VAT at 20%. Work out the amount before VAT.
5
Inequalities on Graphs2 marks
A region is defined by y < -4x - 6. Should the boundary line be solid or dashed, and why?

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