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What is the most likely weight of a pencil?
- A. 25 mg
- B. 25 g
- C. 25 kg
- D. 25 cm
Correct Answer: B
Rationale: The weight of a pencil is typically measured in grams. Milligrams (mg) and kilograms (kg) are not commonly used units to measure the weight of a pencil. Centimeters (cm) are a unit of length, not weight. Therefore, 25g is the most appropriate measurement for the weight of a pencil.
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A macaroni and cheese recipe calls for 1/2 cup of flour for every 1 cup of milk. To make a bigger batch, the chef uses 2 cups of flour. Which of the following would be the amount of milk needed for the bigger batch?
- A. 2 2/5 cups
- B. 4 cups
- C. 3 8/15 cups
- D. 6 cups
Correct Answer: B
Rationale: To determine the amount of milk needed for 2 cups of flour, set up the proportion: 1 cup of milk / 1/2 cup of flour = x / 2 cups of flour. Cross multiply to get 2 cups of milk = 1 cup of flour * 2 cups of flour. Therefore, x = 4 cups of milk. The chef would need 4 cups of milk for the larger batch.
A macaroni and cheese recipe calls for 1/3 cup of flour for every 1 1/5 cups of milk. To make a bigger batch, the chef uses 2 cups of flour. Which of the following would be the amount of milk needed for the bigger batch?
- A. 2 2/5 cups
- B. 7 1/5 cups
- C. 6 cups
- D. 3 8/15 cups
Correct Answer: B
Rationale: To determine the amount of milk needed for the bigger batch, we first establish the ratio of flour to milk, which is 1/3 : 1 1/5. Converting 1 1/5 to an improper fraction gives us 6/5. Therefore, the ratio becomes 1:6/5 = 1:1.2. If the chef uses 2 cups of flour, the calculation would be 2 x 1.2 = 2.4 cups of milk needed. This is equivalent to 2 2/5 cups. Hence, the correct answer is 7 1/5 cups.
What is the value of x in the equation 8x - 4 - 10 = 2?
- A. x = -2 or x = 1
- B. x = -1 or x = 2
- C. x = -1/2 or x = 3/2
- D. x = -3/2 or x = 1/2
Correct Answer: B
Rationale: To find the value of x, first simplify the equation: 8x - 14 = 2. Then, add 14 to both sides to get 8x = 16. Finally, divide by 8 to find x = 2. Therefore, the correct answer is x = -1 or x = 2.
A baker is using a cookie recipe that calls for 2 ? cups of flour to yield 36 cookies. How much flour will the baker need to make 90 cookies using the same recipe?
- A. 5 ? cups
- B. 6 ? cups
- C. 4 ? cups
- D. 10 ? cups
Correct Answer: B
Rationale: To find the amount of flour needed for 90 cookies, first calculate the flour per cookie: (2 ? cups / 36 cookies) = (8/36) = (2/9) cups per cookie. Then multiply by 90: (2/9) × 90 = 20 cups.
What is the appropriate unit of measure to express the weight of a spoon?
- A. Gram
- B. Liter
- C. Kilogram
- D. Milliliter
Correct Answer: A
Rationale: The appropriate unit of measure to express the weight of a spoon is the gram. The gram is a metric unit used for measuring mass or weight, making it suitable for small objects like spoons. Liters and milliliters are units used for measuring volume, while a kilogram is a larger unit of weight, not typically used for measuring the weight of small objects such as spoons.