Daily Practice · Higher

Daily Practice - Higher

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

15th December 2004

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

1
Spheres and Cones3 marks
A cone has base radius 7 cm and vertical height 18 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
Cumulative Frequency2 marks
Four classes in order have frequencies 11, 9, 10, 8. Write down the cumulative frequency at the end of the third class.
4
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.5555... as a fraction in its simplest form.
5
Inequalities on Graphs2 marks
A region is defined by y < x + 5. Should the boundary line be solid or dashed, and why?

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