Question 1:

The smoothie bar decided to make 360 smoothies for the day. According to the recipe, they need to mix 40 ml of strawberry puree, 20 ml of banana puree, and 10 ml of yogurt for each smoothie. What is the total volume of the mixture in liters?

Question 2:

If a car can hold 15 gallons of gas and a bicycle can hold 1/2 gallon of gas, which holds more, 3 cars or 100 bicycles? By how many gallons?

Question 3:

A cargo ship can hold 10,000 tons and a speedboat can hold 5 gallons. Which one holds more?

Question 4:

If a tea kettle can hold 1.5 L and a coffee mug can hold 300 ml, which holds less?

Question 5:

John bought 5 gallons of paint, but he only needed 2 gallons. How many gallons of paint does John have leftover?

Question 6:

One bucket holds 6 L of sand. One can holds 200 ml of cement. Mr. Lee used 4100 ml of the sand for filling a hole. How much sand is left in the bucket? Express your answer in liters and millimeters.

Question 7:

Sarah drinks 3/10 of a carton of milk each day. How much milk does she drink in 5 days?

Question 8:

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 9:

A jar can hold 4 cups of flour. If a bag of flour contains 3 pints, how many jars are needed to hold all the flour?

Question 10:

The capacity of the broken water tank was 500 L. David ordered a new water tank with 300 L of extra capacity. What is the capacity of the new water tank?

Question 11:

There were 1,875 people at a sporting event. 1,246 of them were spectators and about how many were athletes? (round to the nearest thousand if your answer is greater than 1000)

Question 12:

A mug can hold 10 oz of coffee and a coffee pot can hold 8 cups of coffee. How many mugs can be filled with one pot of coffee?

Question 13:

There were 15 3/4 gallons of water in a tank and 2/5 of it was used. How many gallons of water were left in the tank?

Question 14:

A lemonade packet contains 780 ml of lemonade mix, and a jug of lemonade contains 1.5 L. How much more lemonade mix is there in 3 packets of lemonade compared to one jug of lemonade?

Question 15:

A swimming pool holds 100,000 L of water. The hose can fill up the pool with 5 L of water every second. The drain of the pool can drain away 4 L of water every second. Will the pool overflow if the hose is on for a long time and the pool is unplugged? Bonus question: how long before the pool is full?

Question 16:

A jumbo bag can hold 50 lbs and a small pouch can hold 10 oz. Which one holds more?

Question 17:

A box of cookies has 20 cookies, and each cookie is 50 calories. How many calories are there in the whole box of cookies?

Question 18:

The storage capacity of a cellphone is 32 GB. Andy upgraded to a new phone which has 64 GB of storage capacity. How much more storage capacity did Andy get?

Question 19:

The capacity of a water bottle is 24 ounces. If a glass of water holds 8 ounces and a can of water holds 12 ounces, how many glasses of water are needed to fill the water bottle?

Question 20:

A box can hold 3 packs of gum, and each pack contains 15 pieces of gum. How many pieces of gum can the box hold?

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Answer Keys

Question 1: 25.2 liters

Question 2: 3 cars hold more gas. They hold 35 gallons more than 100 bicycles.

Question 3: The cargo ship holds more.

Question 4: The coffee mug holds less.

Question 5: John has 3 gallons of paint leftover.

Question 6: 1 L 900 ml

Question 7: 3/2

Question 8: This cannot be answered as the conversion between liters and ounces is not provided.

Question 9: 3 jars

Question 10: 800 L

Question 11: 629

Question 12: This cannot be answered as the conversion between ounces and cups is not provided.

Question 13: 9 1/2

Question 14: 90 ml

Question 15: Yes, it will overflow. The pool will be full in approximately 5.56 hours.

Question 16: The jumbo bag holds more.

Question 17: There are 1,000 calories in the whole box of cookies.

Question 18: 32 GB

Question 19: 3 glasses

Question 20: 45 pieces

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Solutions

Question 1
To find the total volume, we need to multiply the volume of one smoothie (40+20+10=70 ml) by the number of smoothies (360). 70 ml/smoothie x 360 smoothies = 25,200 ml To convert milliliters to liters, we divide by 1000: 25,200 ml ÷ 1000 = 25.2 liters Therefore, the total volume of the mixture is 25.2 liters.

Question 2
To compare the amount of gas held by 3 cars and 100 bicycles, we need to calculate the total amount of gas each can hold. 3 cars can hold 3 x 15 = 45 gallons of gas. 100 bicycles can hold 100 x 1/2 = 50 gallons of gas. Therefore, 3 cars hold more gas than 100 bicycles, and the difference is 45 - 50 = 35 gallons.

Question 3
1. Check the units - cargo ship can hold tons, speedboat can hold gallons. We need to convert one of them to a consistent unit. 2. Convert tons to gallons - 1 ton is equal to 268.4 gallons, so the cargo ship can hold 2,684,000 gallons. 3. Compare the two quantities - the cargo ship can hold more than the speedboat.

Question 4
To solve this problem, we need to convert both volume measurements to the same unit. 1.5 L is equal to 1500 ml, so the tea kettle holds 1500 ml of liquid. Since 300 ml is less than 1500 ml, the coffee mug holds less.

Question 5
5-2=3 gallons of paint leftover

Question 6
Mr. Lee used 4100 ml of sand out of 6000 ml (6L = 6000 ml). So, the amount of sand left in the bucket is 6000 - 4100 = 1900 ml. Converting into liters and milliliters, we get the answer as 1 L 900 ml.

Question 7
To find out how much milk Sarah drinks in 5 days, we need to multiply her daily intake of milk (3/10) by the number of days (5). 3/10 * 5 = 15/10 or 1 1/2. Therefore, Sarah drinks 1 1/2 cartons of milk in 5 days.

Question 8
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 9
1. Convert pints to cups - 1 pint is equal to 2 cups, so the bag of flour contains 6 cups. 2. Divide the total amount of flour by the capacity of each jar - 6 cups ÷ 4 cups/jar = 1.5 jars. 3. Round up to the nearest whole jar - we need 2 jars to hold all the flour.

Question 10
To find the capacity of the new water tank, we add the extra capacity to the original capacity: 500 L + 300 L = 800 L. So, the capacity of the new water tank is 800 L.

Question 11
To find out the approximate number of athletes, we subtract the number of spectators from the total number of people at the sporting event. 1875 - 1246 = 629 Round 629 to the nearest thousand because the question asks us to do so. Rounded answer: 1000. Therefore, the approximate number of athletes was 1000.

Question 12
To answer this question, we need to convert 8 cups of coffee into ounces. As 1 cup is equal to 8 fluid ounces, the coffee pot can hold 64 fluid ounces of coffee. Therefore, 6 mugs (10 oz per mug) can be filled with one pot of coffee.

Question 13
To solve this problem, we need to find the difference between the initial amount of water and the amount used. First, we need to convert 15 3/4 to an improper fraction: (4*15 + 3)/4 = 63/4 gallons. Then, we need to find 2/5 of 63/4: (2/5)*63/4 = 126/20 gallons of water used. To find the amount of water left, we subtract the amount used from the initial amount: 63/4 - 126/20 = (315 - 126)/20 = 189/20 = 9 1/2 gallons of water left in the tank.

Question 14
One jug of lemonade contains 1.5 L = 1500 ml of lemonade mix. Three packets of lemonade contain 3 x 780 ml = 2340 ml of lemonade mix. So, the difference in the amount of lemonade mix is 2340 ml - 1500 ml = 840 ml. However, the question asks for the difference in millimeters, so converting ml to millimeters, the difference is 840 ml x 1mm/1ml = 840 mm. But, as per the answer given, the difference in millimeters is 90 ml x 1mm/1ml = 90 mm. Thus, the given answer is incorrect.

Question 15
To determine if the swimming pool will overflow, we need to calculate the difference between the amount of water flowing into the pool (5 L/s) and the amount of water flowing out of the pool (4 L/s). In other words, we need to find the net inflow rate into the pool. Since the pool can hold 100,000 L of water, we need to convert the inflow and outflow rates to minutes: Net inflow rate = 5 L/s x 60 s/min - 4 L/s x 60 s/min = 60 L/min To find out how long it will take for the pool to fill up, we can divide the pool capacity (100,000 L) by the net inflow rate (60 L/min): 100,000 L / 60 L/min = 1,666.67 min = 27.78 hours Therefore, it will take approximately 27.78 hours for the pool to fill up. Bonus question answered. Thus, the given answer is correct.

Question 16
Since 1 lb is equal to 16 oz, the jumbo bag can hold 800 oz which is much greater than the small pouch that can only hold 10 oz. Therefore, the jumbo bag holds more.

Question 17
To get the total number of calories in the box, we multiply the number of cookies by the number of calories in each cookie. Therefore, 20 cookies x 50 calories/cookie = 1,000 calories in the whole box.

Question 18
To find how much more storage capacity Andy got, we subtract the original capacity from the new capacity: 64 GB - 32 GB = 32 GB. So, Andy got 32 GB more storage capacity with his new phone.

Question 19
To fill a 24 ounce bottle with 8-ounce glasses of water, we need to divide the capacity of the bottle with the capacity of each glass. Therefore, 24/8 = 3 glasses are needed to fill the water bottle.

Question 20
To find the total number of pieces of gum that a box can hold, we need to multiply the number of packs that can be held by the number of pieces of gum in each pack. Therefore, 3 packs x 15 pieces/pack = 45 pieces of gum can be held in the box.