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What is the result of adding 2/3 + 4/9?
- A. 8/15
- B. 9/9 = 1
- C. 6/12 = 1/2
- D. 10/9 = 1 & 1/9
Correct Answer: D
Rationale: To add fractions, you need to find a common denominator. In this case, the least common multiple of 3 and 9 is 9. To add 2/3 + 4/9, convert 2/3 to have a denominator of 9 by multiplying the numerator and denominator by 3, which gives you 6/9. Now, you can add 6/9 + 4/9 to get 10/9. However, 10/9 can be simplified to 1 & 1/9, making choice D the correct answer.
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What is the sum of 23.5 and 7.025?
- A. 30.525
- B. 30.5
- C. 30.025
- D. 16.475
Correct Answer: A
Rationale: To find the sum of 23.5 and 7.025, you need to add the two numbers together: 23.5 + 7.025 = 30.525. Therefore, the correct answer is A, 30.525. When adding decimal numbers, align the decimal points and add as usual, carrying over any numbers to the left of the decimal point if necessary. In this case, the sum is correctly calculated as 30.525. Remember to be careful with the placement of the decimal point when adding or subtracting decimals to ensure accurate results.
If 5 is to 30 as X is to 1, find the value of X. (Round to the nearest tenth.)
- A. 6
- B. 5.5
- C. 5
- D. 4.5
Correct Answer: A
Rationale: To find the value of X, set up a proportion: 5/30 = X/1. Cross-multiply to get 5 = 30X. Divide both sides by 30, which gives X = 5/30 = 0.1667. When rounded to the nearest tenth, X is 0.2, which is equivalent to 6 when rounded to a whole number. Therefore, the value of X is 6.
Divide: 413 divided by 0.05 =
- A. 7,350
- B. 73.5
- C. 8,260
- D. 82.6
Correct Answer: C
Rationale: To divide 413 by 0.05, we can rewrite 0.05 as 5/100 to make the division easier. Then, divide 413 by 5 and multiply the result by 100.
413 ÷ 5 = 82.6
82.6 x 100 = 8,260
Therefore, the correct answer is C: 8,260.
Choice A is incorrect as it does not result from the correct division process. Choice B is incorrect because it does not account for multiplying by 100 after dividing by 5. Choice D is incorrect as it is the result of dividing by 0.1 instead of 0.05.
A newborn weighs 3,459 grams. There are 453.59 grams per pound. What is the infant's weight in pounds and ounces?
- A. 7lbs 10oz.
- B. 10lbs 7oz.
- C. 13lbs 3oz.
- D. 3lbs 13oz.
Correct Answer: A
Rationale: To convert the baby's weight from grams to pounds and ounces, divide the weight in grams by the number of grams in a pound (453.59). 3,459 grams · 453.59 grams per pound = 7.62 pounds. Since there are 16 ounces in a pound, multiply the decimal part (0.62) by 16 to get the additional ounces. 0.62 x 16 = 9.92, which rounds up to 10 ounces. Therefore, the infant's weight is 7 pounds and 10 ounces (7lbs 10oz).
A mother is planning a birthday party. She will give each child 15 balloons. There are 50 balloons per packet. How many packets does the mother need if there will be 16 children?
- A. 5
- B. 6
- C. 17
- D. 50
Correct Answer: A
Rationale: To determine the number of packets the mother needs, you must calculate the total number of balloons required for all children. With 16 children receiving 15 balloons each, the total number of balloons needed is 15 x 16 = 240. As each packet contains 50 balloons, divide the total balloons needed by the number of balloons per packet: 240 · 50 = 4.8. Since packets cannot be in fractions, round up to the nearest whole number, which means the mother needs 5 packets to provide balloons for all 16 children.