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LM-Gambit/.core/suites/math-code/test1.txt
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Netherwarlord 8f246fabbc feat: add plugin framework with UI contributions and suite selection
- Implemented PluginBlocks component to render various plugin UI elements.
- Created SuitePicker for selecting test suites and questions.
- Introduced usePluginUI hook for managing plugin UI state and manifest.
- Developed DocsPage for comprehensive plugin framework documentation.
- Added PluginPage to render pages declared by plugins based on the current path.
2026-07-28 03:00:55 -04:00

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Compute each of the following exactly, by hand, showing intermediate steps. Do not round until the final answer. Do not approximate, and do not skip the working.
1. 4,827 × 396
2. 17.5% of 1,840, minus 3/8 of 512
3. A container holds 3.75 litres. How many complete 45-millilitre doses can be drawn from it, and how much liquid is left over? Give the remainder in millilitres.
4. Convert 68 miles per hour to metres per second, using 1 mile = 1,609.344 m exactly. Give the result to three decimal places.
5. $12,000 earns 4.25% annual interest compounded quarterly. What is the balance after 3 years? Write the exact expression first, then evaluate to the cent.
6. A shirt is marked down 30%, then a further 20% is taken off the reduced price. What is the single equivalent discount? Show why it is not 50%.
Then answer:
- Which of these six is most vulnerable to a rounding error, and at exactly which step does the error enter?
- Which one is most commonly gotten wrong by intuition rather than arithmetic, and what is the wrong intuition?