Question 1:

The students in the class have 240 pieces of candy. The teacher gave 68 pieces to his 3 favorite students and the remaining candy will be distributed equally among the rest of the class. How many pieces of candy will each of the remaining students receive?

Question 2:

If Lily filled a big pot with 5.6 cups of water and a smaller pot with 3.9 cups of water, which pot has more water?

Question 3:

A bathtub holds 50 L of water. The faucet can fill up the bathtub with 2,000 ml of water every minute. The drain of the bathtub can drain away 1,500 ml of water every minute. Will the bathtub overflow if the faucet is on for a long time and the bathtub is unplugged? Bonus question: how long before the bathtub is full?

Question 4:

A swimming pool has a length of 25 meters, a width of 10 meters, and a depth of 3 meters. What is the volume of water in the pool?

Question 5:

If the capacity of a big bowl is 1 gallon and 2 cups, and the capacity of a small bowl is 2 pints, what is the difference in capacity between the two bowls?

Question 6:

One bag of popcorn has 3 cups of kernels. If there are 24 bags of popcorn in a box, how many cups of kernels are there in the box?

Question 7:

A swimming pool has a volume of 600 gallons. If the pool is currently full and needs to be drained to 200 gallons, how many gallons of water need to be drained?

Question 8:

In a recipe, there are 1/2 cup of sugar and 2/3 cup of flour and a baker uses 1/4 cup of sugar. How much sugar is left?

Question 9:

A jar can hold 1 liter of juice and a glass can hold 8 oz of juice. How many glasses of juice can the jar fill?

Question 10:

There were 4 quarts of lemonade in the pitcher and 2 quarts of orange juice in the jug. How much lemonade is in ounces?

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Answer Keys

Question 1: Each of the remaining students will receive 4 pieces of candy.

Question 2: Big pot

Question 3: Yes, it will overflow. The bathtub will be full in approximately 33.33 minutes.

Question 4: The volume of water in the pool is 750 cubic meters.

Question 5: The difference in capacity is about 0.85 gallons (1 gallon and 2 cups minus approximately 0.5 gallons for 2 pints).

Question 6: There are 72 cups of kernels in the box.

Question 7: 400 gallons

Question 8: 1/4 cup of sugar

Question 9: This cannot be answered as the conversion between liters and ounces is not provided.

Question 10: There are 128 ounces of lemonade in the pitcher.

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Solutions

Question 1
First, subtract the candy given to the favorite students from the total amount of candy: 240 pieces - 68 pieces = 172 pieces. Then, divide the remaining candy equally among the rest of the class by dividing by the number of remaining students: 172 pieces ÷ (total number of students - 3 favorite students) = 172 ÷ (total number of students - 3) candies per student.

Question 2
The big pot has more water because it contains 5.6 cups of water, which is more than 3.9 cups of water in the smaller pot.

Question 3
To determine if the bathtub will overflow, we need to calculate the difference between the amount of water flowing into the bathtub (2,000 ml/min) and the amount of water flowing out of the bathtub (1,500 ml/min). In other words, we need to find the net inflow rate into the bathtub. Since 1 L = 1,000 ml, the bathtub can hold 50 L = 50,000 ml. Net inflow rate = 2,000 ml/min - 1,500 ml/min = 500 ml/min To find out how long it will take for the bathtub to fill up, we can divide the bathtub capacity (50,000 ml) by the net inflow rate (500 ml/min): 50,000 ml / 500 ml/min = 100 min = 1 hour 40 min Therefore, it will take approximately 1 hour and 40 minutes for the bathtub to fill up. Bonus question answered. Thus, the given answer is correct.

Question 4
To find the volume of water in the pool, we need to multiply its length, width, and depth. V = l * w * h = 25 * 10 * 3 = 750 cubic meters.

Question 5
1 gallon and 2 cups is equal to 1.5 gallons. 2 pints is equal to 1 quart. 1 quart and 1 pint is equal to 1.25 quarts. 1 gallon is equal to 4 quarts. Therefore, the capacity difference between the two bowls is 1.5 - 1.25 = 0.25 gallons which is equal to approximately 0.85 liters.

Question 6
To find the total number of cups of kernels in the box, we need to multiply the number of bags by the number of cups in each bag. 24 bags x 3 cups per bag = 72 cups of kernels in the box.

Question 7
Solution: To drain the pool from 600 gallons to 200 gallons, we need to remove 600 - 200 = 400 gallons of water.

Question 8
To find the answer, we can subtract the amount of sugar used from the total amount of sugar. 1/2 - 1/4 = 2/8, which simplifies to 1/4. Therefore, there is 1/4 cup of sugar left.

Question 9
To convert liters to ounces, you can multiply the number of liters by 33.814. Therefore, the jar can hold approximately 33.814 ounces of juice. To determine how many glasses of juice can be filled, divide 33.814 by 8, which gives approximately 4.23 glasses. However, this assumes that the jar is filled to its maximum capacity without any spills or air gaps. It's best to use a measuring cup or a scale to measure the exact amount of juice needed for each glass.

Question 10
We need to convert quarts to ounces to find the total amount of lemonade in ounces. There are 32 ounces in 1 quart. 4 quarts x 32 ounces per quart = 128 ounces of lemonade in the pitcher.