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If a package of 10 pencils is divided between every 2 students in a class with 20 students, how many pencils are needed?
- A. 20
- B. 40
- C. 80
- D. 100
Correct Answer: D
Rationale: If 20 students are divided into pairs, there would be 10 pairs in total (20 students / 2 = 10 pairs). Since each pair receives 10 pencils, the total number of pencils needed is calculated by multiplying the number of pairs (10 pairs) by the number of pencils each pair receives (10 pencils per pair), resulting in 100 pencils required. Therefore, the correct answer is 100 pencils. Choices A, B, and C are incorrect because they do not consider the correct pairing of students or the total number of pencils needed for each pair.
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Multiply 0.05 by 22 and express the result as a decimal:
- A. 1.1
- B. 0.11
- C. 0.011
- D. 0.0011
Correct Answer: C
Rationale: When multiplying 0.05 by 22, you get 1.10. To express this result as a decimal, you move the decimal point two places to the left since there are two total decimal places in the question (one in 0.05 and none in 22), resulting in 0.011. Choice A (1.1) incorrectly adds a decimal place, choice B (0.11) incorrectly moves the decimal point only one place, and choice D (0.0011) adds an extra zero.
If the outside temperature is currently 22 degrees on the Celsius scale, what is the approximate temperature on the Fahrenheit scale?
- A. 56°F
- B. 62°F
- C. 66.5°F
- D. 71.6°F
Correct Answer: D
Rationale: To convert Celsius to Fahrenheit, you can use the formula: F = (C x 1.8) + 32. Substituting C = 22 into the formula gives: F = (22 x 1.8) + 32 = 39.6 + 32 = 71.6°F. Therefore, the approximate temperature on the Fahrenheit scale when it is 22 degrees Celsius is 71.6°F. Choices A, B, and C are incorrect because they do not match the correct conversion result. Choice A, 56°F, is lower than the correct conversion. Choice B, 62°F, is also lower than the correct conversion. Choice C, 66.5°F, is not a whole number and does not match the precise conversion of 71.6°F. Thus, the correct answer is 71.6°F.
What is the result of the addition: 34 + 4 + 234?
- A. 70.2
- B. 230.72
- C. 234.74
- D. 272
Correct Answer: D
Rationale: Adding the given numbers together: 34 + 4 + 234 = 272. The correct sum is 272. Choice A, 70.2, is incorrect as it does not reflect the accurate addition of the numbers. Choice B, 230.72, is incorrect as well. Choice C, 234.74, is also incorrect since the correct sum is 272, not 234.74.
In a scale drawing for a garden, 2 cm = 1 m. If the garden measures 8 cm by 10 cm in the drawing, how large will it be in reality?
- A. 2 m by 3 m
- B. 4 m by 5 m
- C. 8 m by 10 m
- D. 16 m by 20 m
Correct Answer: C
Rationale: In the scale drawing, 2 cm represents 1 m. To find the actual dimensions of the garden in reality, we need to multiply the dimensions in the drawing by the scale factor. So, 8 cm x 2 = 16 cm in reality (length) and 10 cm x 2 = 20 cm in reality (width). Converting these to meters, the garden will be 16 m by 20 m. Choices A, B, and D are incorrect because they do not correctly apply the scale factor to determine the actual dimensions of the garden.
Express 25 as a fraction in lowest terms.
- A. 1â…–
- B. 1½
- C. 1¼
Correct Answer: C
Rationale: To express 25 as a fraction in lowest terms, we write it as 25/1. Then, we simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 25. This results in 25/1 = 25/25 = 1 as the whole number part and 0 as the fractional part. Thus, 25 can be expressed as 1¼. Choice A (1â…–) is incorrect as it represents 1 and 2/5, which is not equivalent to 25. Choice B (1½) is incorrect as it represents 1 and 1/2, which is also not equivalent to 25. Choice D is empty and does not provide an answer.