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What is the probability of getting a 1 on a six-sided die?
- A. 1/6
- B. 1/4
- C. 1/3
- D. 1/2
Correct Answer: A
Rationale: The probability of getting a '1' on a six-sided die is 1 out of 6 possible outcomes, making it a 1/6 probability. Therefore, choice A is correct. Choices B, C, and D are incorrect because they do not represent the correct probability of rolling a '1' on a standard six-sided die.
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Solve for x: 120:x::40:0.5.
- A. 1.5
- B. 60
- C. 0.167
- D. 16
Correct Answer: A
Rationale: To solve the proportion 120:x::40:0.5, cross-multiply to get 120 * 0.5 = 40 * x. This simplifies to 60 = 40x. Dividing both sides by 40 gives x = 1.5. Therefore, the correct answer is A. Choice B (60) is incorrect because x is not equal to 60. Choice C (0.167) is incorrect as it does not result from solving the proportion. Choice D (16) is also incorrect because x is not equal to 16.
Convert 3/8 to a decimal.
- A. 0.25
- B. 0.25
- C. 0.3
- D. 0.375
Correct Answer: D
Rationale: To convert 3/8 to a decimal, divide 3 by 8: 3 · 8 = 0.375. The correct answer is 0.375. Choice A (0.25), Choice B (0.25), and Choice C (0.3) are incorrect because they do not represent the equivalent decimal value of 3/8.
How many grams are in 5 kilograms?
- A. 50,000 grams
- B. 500 grams
- C. 5,000 grams
- D. 50,000 grams
Correct Answer: C
Rationale: The correct answer is C: 5,000 grams. There are 1,000 grams in a kilogram. Therefore, to convert kilograms to grams, you need to multiply the number of kilograms by 1,000. In this case, 5 kilograms is equal to 5 1,000 = 5,000 grams. Choices A and D are incorrect as they incorrectly multiply by 10,000 instead of 1,000. Choice B is incorrect as it divides instead of multiplies, leading to an incorrect conversion.
A table top has dimensions of 75cm by 50cm. What is its perimeter if opposite sides are equal?
- A. 125cm
- B. 150cm
- C. 200cm
- D. 50cm
Correct Answer: B
Rationale: Rationale:
- Given that the table top has dimensions of 75cm by 50cm.
- Since opposite sides are equal, the table top can be divided into two pairs of equal sides: 75cm and 50cm.
- To find the perimeter, we add up all four sides: 75cm + 50cm + 75cm + 50cm = 250cm.
- However, since opposite sides are equal, we only need to consider two sides: 75cm + 50cm = 125cm.
- Therefore, the perimeter of the table top is 125cm + 125cm = 150cm.
- Hence, the correct answer is B) 150cm.
Add 2\3 + 1\6 + 2\5.
- A. 1 & 7\30
- B. 1 & 1\15
- C. 2\5
- D. 3\4
Correct Answer: A
Rationale: To add fractions, find a common denominator (30), which gives 20/30 + 5/30 + 12/30=37/30= 1 7/30