Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
6th September 2000
- 1Speed and Density2 marks
A block has volume 195 cm^3 and density 4 g/cm^3. Work out its mass.
- 2Spheres and Cones3 marks
A sphere has radius 3 cm. Work out its volume, leaving your answer in terms of pi.
- 3Probability Trees3 marks
1 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4Cumulative Frequency2 marks
Four classes in order have frequencies 5, 7, 6, 8. Write down the cumulative frequency at the end of the third class.
- 5The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
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