Question 1:

Mr. Smith spent 2 2/3 hours practicing piano and 3 1/3 hours performing in a concert. Later that day, he spent 1 5/6 hours writing music at home. How much time did he spend on music-related activities?

Question 2:

The distance between John's house and school is 2.3 km, and the distance between John's house and library is 4.5 km. Is John's house closer to school or the library?

Question 3:

A school has 6 classrooms. There are 24 students in each classroom. If each student needs 1 textbook, what is the maximum number of textbooks needed?

Question 4:

A truck is 5 meters long and it is towing a 10-meter-long trailer. What is the total length of the truck and the trailer?

Question 5:

The distance between David's office to the restaurant is 2.7 miles and the distance between David's office to the movie theater is 3560 feet. Is David's office closer to the restaurant or the movie theater?

Question 6:

If Sally can bake 24 cupcakes with 2 cups of flour, how many cupcakes can she bake with 3 cups of flour?

Question 7:

The rate charged for a single room is $100 dollars. A traveler stayed in a single room for z nights and their total room charge is $700. Solve z.

Question 8:

The snail moved at a speed of 0.03 miles per hour, while the hare hopped at a speed of 7 miles per hour. How far would the hare hop, in a straight line, in 5 hours?

Question 9:

The toy store stocked 120 dolls and 150 cars. The first customer came in and bought 1 dozen cars. The next 4 customers came in and bought 5 dolls each, how many cars were left?

Question 10:

A restaurant opens at 8 a.m. and closes at 10 p.m. How many hours are the restaurant open in a day?

Question 11:

The tree in the park is 12 m tall. On top of the tree, there is a bird's nest of 3 m. What is the distance between the top of the bird's nest and the ground?

Question 12:

A rectangular piece of paper has a length of 15 cm and a width of 8 cm. What is the perimeter of the paper?

Question 13:

Michael has a piece of yarn that is 48 in long. If he divides it into 12 equal pieces, what is the length of each piece of shorter yarn?

Question 14:

Each box of cupcakes takes 25 minutes to bake but Mrs. Lee's oven is so small she can only fit two boxes at a time. The bake sale starts at 10:00 a.m. When is the latest time for Mrs. Lee to start baking?

Question 15:

On Monday, 34 cars were sold, followed by an additional 150 cars on Tuesday, and 78 more on Wednesday. How many cars were sold in the three days?

Question 16:

If Tom is 160 cm tall and Rachel is 155 cm tall, who is taller?

Question 17:

What is the distance from Andrew's school to the library if it is 7.2 kilometers away from home and he stopped at a coffee shop 4.5 kilometers before arriving at the library?

Question 18:

The biggest tree in the park is 30 meters tall. The second biggest tree in the park is 25.5 meters tall. How much taller is the biggest tree?

Question 19:

John's bookshelf has a height of 62 inches. He wants to place it in a room with a ceiling height of 80 inches. How much does he need to shorten the bookshelf?

Question 20:

Four orders are to be done today. Each order involves printing y pages. As a result, there are total of 12000 pages to be printed today. Solve y.

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Answer Keys

Question 1: He spent 7 13/18 hours on music-related activities.

Question 2: John's house is closer to school.

Question 3: 144

Question 4: The total length of the truck and the trailer is 15 meters.

Question 5: David's office is closer to the movie theater.

Question 6: Sally can bake 36 cupcakes with 3 cups of flour.

Question 7: 7

Question 8: The hare would hop 35 miles in 5 hours.

Question 9: 138

Question 10: 14 hours

Question 11: The distance between the top of the bird's nest and the ground is 15 m.

Question 12: The perimeter of the paper is 46 cm.

Question 13: Each piece of shorter yarn is 4 in long.

Question 14: 9:00 a.m.

Question 15: 262 cars

Question 16: Tom is taller.

Question 17: 2.7 kilometers

Question 18: 4.5 meters

Question 19: He needs to shorten the bookshelf by 18 inches.

Question 20: 3000

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Solutions

Question 1
To find the total time Mr. Smith spent on music-related activities, we need to add the time he spent practicing piano, performing in a concert, and writing music at home. 2 2/3 + 3 1/3 + 1 5/6 = (8/3 + 10/3 + 11/6) hours Common denominator of 6: = (16/6 + 20/6 + 11/6) hours = 47/6 hours or 7 13/18 hours.

Question 2
To determine which location John's house is closer to, we need to compare the distances. John's house is 2.3 km from the school and 4.5 km from the library, which means John's house is closer to the school.

Question 3
1. Number of students in each classroom = 24. 2. Number of classrooms = 6. 3. Total number of students in all classrooms = 24 * 6 = 144. 4. Each student needs 1 textbook, therefore maximum number of textbooks needed = 144.

Question 4
5 + 10 = 15

Question 5
To solve the problem, we need to convert the distances to the same unit of measurement. One mile is equal to 5280 feet, so the distance between David's office and the restaurant is 2.7 * 5280 = 14,256 feet. Therefore, David's office is closer to the movie theater, which is only 3560 feet away.

Question 6
To find out how many cupcakes Sally can bake with 3 cups of flour, we can set up a proportion. 2 cups of flour make 24 cupcakes, so 1 cup of flour makes 12 cupcakes. Therefore, 3 cups of flour would make 36 cupcakes – 3 x 12 = 36.

Question 7
To solve the problem, we can set up the equation: 100z = 700. To isolate z, we divide both sides by 100. Thus, z = 7.

Question 8
To find the hare's distance, we can use the formula: distance = rate x time. The hare's rate is 7 miles per hour and the time is 5 hours, so the distance is 7 x 5 = 35 miles.

Question 9
1. Number of cars in the toy store = 150 2. First customer bought 1 dozen cars = 12 cars, so cars left = 150 - 12 = 138 3. Next four customers bought 5 dolls each, so total number of dolls sold = 4 * 5 = 20 4. Since no cars were sold to these four customers, the number of cars left = 138

Question 10
The restaurant opens at 8 a.m. and closes at 10 p.m. This means it is open for 14 hours in a day.

Question 11
To find the distance between the top of the bird's nest and the ground, we add the height of the tree and the height of the bird's nest: 12 + 3 = 15. So, the distance between the top of the bird's nest and the ground is 15 m.

Question 12
To find the perimeter of a rectangle, add up all the sides. Therefore, the perimeter of the paper is (2*15) + (2*8) = 46 cm.

Question 13
48/12=4. Each piece is 4 inches long.

Question 15
To find the total number of cars sold over three days, add the number of cars sold on each day: 34 + 150 + 78 = 262.

Question 16
Tom is taller at 160 cm compared to Rachel's 155 cm.

Question 17
To find the distance from Andrew's school to the library, we need to subtract the distance at which he stopped from the total distance between his home and the library. Therefore, the distance from Andrew's school to the library is 7.2 km - 4.5 km = 2.7 km.

Question 18
Subtract the height of the second biggest tree from the height of the biggest tree: 30 - 25.5 = 4.5 meters. Therefore, the biggest tree is 4.5 meters taller than the second biggest tree.

Question 19
To find out how much John needs to reduce the height of his bookshelf, we need to subtract the ceiling height from the bookshelf height: 80 - 62 = 18 inches. Therefore, he needs to shorten the bookshelf by 18 inches to fit it in the room.

Question 20
To find the number of pages to be printed per order, we need to divide the total number of pages by the number of orders. Therefore, 12000/4 = 3000 pages per order.