Show your method. A calculator is optional. Prices, rates, and scenarios are fictional arithmetic examples.
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A cone and a cylinder have the same radius and height. Which has greater volume, and by what factor?
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A bag has one purple, two orange, and four white counters. A single counter is chosen at random, with each equally likely. What is the probability it is white?
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Which solid best models a rectangular brick: sphere, cone, or rectangular prism?
Answers and explanations
- The cylinder, B, has three times the cone’s volume: πr²h compared with ⅓πr²h.
- 4/7, since four of the seven counters are white.
- Rectangular prism. The old test offered “rectangle,” a two-dimensional shape, instead of the appropriate solid.
Adapted from Rick’s Math Word Problems Test, page 12. Wording and answer explanations have been revised; original diagrams are labeled as recovered. This is a practice sheet, not a standardized assessment.
Sources & further reading
Source links are provided for editorial review. Recovered historical text has not been independently verified.