Science and Maths Test
Welcome to the Science and Maths Test! This test covers Earth Science (rocks, minerals, Earth's layers) and Mathematics (fractions, decimals, arithmetic operations). You have 1 hour to complete the test. Select the correct option for each question. After submission, correct answers will be highlighted in green, incorrect answers in red, and detailed explanations with mathematical solutions will be provided. Good luck!
32. Convert \(\frac{199}{200}\) to a decimal.
33. Convert \(\frac{2}{3333}\) to a decimal (rounded to 6 decimal places).
34. Solve \(5\left[\left\{\left(4 \div 4\right) \times \frac{2}{3} - \frac{6}{6} + 5 - 9\right\}\right]\).
35. The average age of a family of four people is 60. If the average age of three people is 45, find the age of the fourth person.
36. Solve \(2 \div 2 \div 2 \div 2 \div 2\).
37. Solve \(\left(\frac{1}{2} + 3\frac{3}{4} - 2\frac{2}{3} + \frac{1}{2} - \frac{1}{6} - \frac{2}{3} + 4\right)\).
38. Solve \(4 \times \frac{2}{3} - \frac{6}{6} \times 6 + \frac{2}{3} - 2\).
39. Solve \(\left(\frac{1}{2} \times \frac{2}{3} + \frac{3}{2} - 1}{2} \times \frac{1}{4} - 5\right)\).
40. Multiply \(25 \times 0.0003756\).
41. Divide \(6 \div 0.7654\).
42. Multiply \(85 \times 6.000074\).
43. Add \(\frac{2}{3} + \frac{3}{4} + \frac{1}{6} + \frac{1}{2} + \frac{2}{5} + \frac{6}{7} + \frac{8}{9} + \frac{4}{6} + \frac{3}{2} + \frac{9}{5} + \frac{7}{8}\).
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