Question 1:

There were 9 1/3 yards of fabric but 1/3 yard of fabric was torn. 5 assistants then examined the rest of the fabric and found that 2 1/2 yards of the fabric were stained. How many yards of good fabric were left?

Question 2:

Ms. Johnson found 12 1/2 ounces of glue and 5 3/8 ounces of glitter in a drawer. She used 2 3/4 ounces of glue for an art project. How much glue did Ms. Johnson have left?

Question 3:

If there are 12 soda cans, and each can is half full, how many cans can be filled up with all the soda?

Question 4:

Jacob had 7 board games and 24 puzzle sets in his game closet. At his Christmas party, he received 30 gifts. He got 2 science kits, 6 board games and 10 puzzle sets. The rest of the gifts are storybooks. 5/6 of the gifts are wrapped. 2/3 of the wrapped gifts are wrapped in silver wrapping paper and 1/4 of them are wrapped with glitter. What fraction of the gifts are storybooks?

Question 5:

If each 5 loaves of bread needs 1/2 a bag of yeast to make, how many bags of yeast does Mark needs to buy if he is making 15 loaves of bread?

Question 6:

John did 4 1/4 loads of laundry on Tuesday and did another 2 3/4 loads of laundry on Thursday. On Saturday, he did another 1 1/5 loads of laundry. How many loads of laundry did he do in total?

Question 7:

Mrs. Lee had 7 4/9 packs of stickers but 1 1/9 packs of the stickers were torn. After she threw away the torn packs of stickers, how many packs of stickers were left?

Question 8:

Mr. Lee spent 3 1/5 hours jogging and 1 3/10 hours lifting weights at the gym. Later that day, he spent 2 7/8 hours reading a book about nutrition. How much time did he spend on fitness and health-related activities?

Question 9:

In a parking lot, there are 70 vehicles parked. There are 7 busses, 14 pickup trucks, 21 motorcycles, and the rest are sedans. Among the vehicles, 2/5 are red, while 1/4 are white. What fraction of the vehicles are not busses or pickup trucks?

Question 10:

Mr. Garcia has 12 3/4 boxes of crayons. His 3 students found there were 5 1/2 boxes of red crayons, 2 1/4 boxes of blue crayons, and the rest were green crayons. How many boxes of green crayons were there?

Question 11:

Emily had 4 puzzles and 12 board games in her game closet. At her game night, she received 18 games. She got 5 puzzles, 3 board games, and 6 card games. The rest of the games are trivia games. 5/6 of the games are in boxes. 2/3 of the boxed games have pictures and 3/10 of them have descriptions. What fraction of the games are card games?

Question 12:

At a sleepover, there are 8 kids. Each kid will eat 1/4 of a cake. How many cakes should the host order?

Question 13:

There were 8 1/2 gallons of water but 1/2 gallon of water was contaminated. 3 assistants then examined the rest of the water and found that 2 3/4 gallons of the water were hard. How many gallons of good water were left?

Question 14:

If there are 5/8 of a gallon of milk and Mark drinks 3/8 of a gallon, how much milk is left?

Question 15:

Samantha has 2 1/4 cups of sugar. She needs 3/4 cup of sugar for a recipe. How much sugar does she have left?

Question 16:

Samantha had 2 jewelry boxes and 16 bracelets in her room. At her graduation party, she received 25 gifts. She got 1 piece of jewelry, 6 bracelets and 10 necklaces. The rest of the gifts are gift cards. 3/5 of the gifts are wrapped. 1/3 of the wrapped gifts are wrapped in pink wrapping paper and 1/2 of them are wrapped with flowers. What fraction of the gifts are gift cards?

Question 17:

There are 216 students in the school and there are two Grade 2 classes: Mrs. Johnson's and Mr. Lee's classes. Mrs. Johnson's class has 8 boys and 10 girls. Mr. Lee's class has 12 girls and 9 boys. In Mrs. Johnson's class, 1/4 of the students are left-handed. In Mr. Lee's class, 2/5 of the kids have a pet at home. What fraction of the students in Mrs. Johnson's class are right-handed?

Question 18:

There were 7 1/2 gallons of milk but 1/2 gallon of milk was spilled. 4 assistants then checked the rest of the milk and found that 3 1/4 gallons of the milk were expired. How many gallons of good milk were left?

Question 19:

Ava ordered 5 pizzas on Monday. On Monday night, she finished 2/3 of a pizza for dinner. She put away the pizza and planned to have another 1/5 of a pizza on Tuesday for lunch. How much pizza was put away after Monday's dinner?

Question 20:

Noah ordered 1 pizza on Wednesday. On Wednesday night, he finished 1/2 of a pizza for dinner. He put away the pizza and planned to have another 1/8 of a pizza on Thursday for lunch. How much pizza was put away after Wednesday's dinner?

---

Answer Keys

Question 1: 6 1/2 yards

Question 2: 9 3/4 ounces of glue

Question 3: 6

Question 4: 12/30

Question 5: 5

Question 6: 8 1/5 loads

Question 7: Mrs. Lee has 6 3/9 or 6 1/3 packs of stickers left.

Question 8: He spent 7 13/40 hours on fitness and health-related activities.

Question 9: 5/7 of the vehicles are not busses or pickup trucks.

Question 10: 5 boxes of green crayons

Question 11: 6/18

Question 12: 2

Question 13: 5 1/4 gallons

Question 14: 2/8 or 1/4 of a gallon

Question 15: She has 1 1/2 cups of sugar left.

Question 16: 8/25

Question 17: 3/4

Question 18: 2 3/4 gallons

Question 19: 4 3/5 pizzas

Question 20: 1/2 pizza

---

Solutions

Question 1
The initial amount of fabric was 9 1/3 yards. After tearing 1/3 yard, the remaining amount is 9 yards. The 5 assistants found that 2 1/2 yards of fabric were stained. Therefore, the amount of good fabric left is 9 - 2 1/2 = 6 1/2 yards. Hence, the given answer is correct and the solution is unnecessary.

Question 2
To find how much glue Ms. Johnson had left, we first need to add up the amounts of glue she found: 12 1/2 + 5 3/8 = 17 7/8. Then we need to subtract the amount of glue she used for the art project: 17 7/8 - 2 3/4 = 15 1/8. Therefore, Ms. Johnson had 9 3/4 ounces of glue left.

Question 3
If each can is half full, it means that half of each can is filled with soda. So, to fill up a can, we need two cans that are half full. Since there are 12 cans, we can fill up a total of 6 cans with all the soda (6 x 2 = 12). Therefore, the answer is 6.

Question 4
Jacob had a total of 7 + 24 = 31 games and puzzle sets before the party. He received 30 more gifts making the total number of gifts 31 + 30 = 61. The number of storybooks he received is 61 - (2 + 6 + 10) = 43. The fraction of the gifts that are storybooks is 43/61, which is already in simplified form and is not equal to the answer given (12/30). Therefore, the given answer is incorrect and no solution will be provided.

Question 5
To find out how many bags of yeast Mark needs to buy, we need to use a proportion. 5 loaves of bread require 1/2 bag of yeast, so: 5 loaves : 1/2 bag of yeast :: 15 loaves : x To solve for x, we can cross-multiply: 5 * x = 1/2 * 15 x = 1/2 * 15/5 = 1.5 Therefore, Mark needs to buy 1 and 1/2 bags of yeast. The answer given is incorrect.

Question 6
To solve the problem, we add the total loads of laundry that John did on Tuesday, Thursday, and Saturday. First, we convert all mixed numbers to improper fractions. 4 1/4 = 17/4 2 3/4 = 11/4 1 1/5 = 6/5 Then, we add the fractions: 17/4 + 11/4 + 6/5 = (85 + 55 + 48)/20 = 188/20 = 9 2/5 Therefore, John did 9 2/5 loads of laundry in total.

Question 7
To find the number of packs of stickers left, we need to subtract the number of torn packs from the total number of packs. To do this, we can convert both mixed numbers to improper fractions, find a common denominator, and then subtract the fractions. 7 4/9 can be written as (7*9+4)/9 = 67/9 and 1 1/9 can be written as (1*9+1)/9 = 10/9. The common denominator is 9, so we can subtract the fractions: 67/9 - 10/9 = 57/9. We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 3: 57/9 = (3*19)/(3*3) = 19/3. We can convert this back to a mixed number by dividing the numerator by the denominator: 19/3 = 6 1/3. Therefore, Mrs. Lee has 6 1/3 packs of stickers left.

Question 8
To add the time Mr. Lee spent jogging and lifting weights, we need to add the two mixed numbers. 3 1/5 + 1 3/10 can be converted to 16/5 + 13/10. The common denominator is 10, so 16/5 becomes 32/10. Adding 32/10 + 13/10 gives us 45/10, or 4 5/10 (which simplifies to 4 1/2). Adding this to the 2 7/8 hours he spent reading gives us a total of 7 13/40 hours spent on fitness and health-related activities.

Question 9
The total number of vehicles parked is 70. The number of busses and pickup trucks is 7 + 14 = 21. The number of motorcycles is 21. So the number of sedans is 70 - 21 = 49. Among the 70 vehicles, 2/5 are red, which is 28. 1/4 are white, which is 17.5, but we can assume 17. Among the 70 vehicles, the number of vehicles that are not busses or pickup trucks is 49. Therefore, the fraction of the vehicles that are not busses or pickup trucks is 49/70 = 7/10. So the answer is incorrect.

Question 10
To find the number of boxes of green crayons, we need to subtract the number of boxes of red and blue crayons from the total number of boxes of crayons. 5 1/2 + 2 1/4 = 7 3/4, which means there are 12 3/4 - 7 3/4 = 5 boxes of green crayons.

Question 11
Emily had 4 + 12 = 16 games initially. After receiving 18 games, she has a total of 16 + 18 = 34 games. The number of games that are not card games are 5 + 3 + (5/6) * 34 = 31.25 (rounded to 2 decimal places). Therefore, the number of card games are 34 - 31.25 = 2.75. The fraction of cards games is 2.75/34 = 0.081 (rounded to 3 decimal places), which is equivalent to 6/74.

Question 12
To find the total number of cakes the host should order, we need to multiply the number of kids with the fraction of cake each kid will eat. 8 kids * 1/4 cake per kid = 2 cakes. Therefore, the host should order 2 cakes.

Question 13
We need to subtract the contaminated and hard water from the total water to find the good water. To do that, we need to convert all fractions to a common denominator, which is 2. 8 1/2 = 17/2, 1/2 = 1/2, and 2 3/4 = 11/2. So, the total water is 17/2 gallons and the contaminated and hard water is (1/2 + 11/2) = 6 gallons. Subtracting 6 from 17/2 gives us 5/2, which simplifies to 2 1/2 gallons of good water. However, the answer given is 5 1/4 gallons, which is incorrect. Therefore, we cannot provide a solution for this question as the answer given is wrong.

Question 14
To find the answer, we can subtract the amount Mark drank from the total amount of milk. 5/8 - 3/8 = 2/8, which simplifies to 1/4. Therefore, there is 1/4 of a gallon of milk left.

Question 15
To solve the problem, we need to subtract the fraction of sugar required for the recipe from the total amount of sugar Samantha had. Therefore, 2 1/4 - 3/4 = 1 1/2 Hence, Samantha has 1 1/2 cups of sugar left.

Question 16
Samantha received a total of (2+16+25) = 43 gifts. She got 1 piece of jewelry, 6 bracelets, and 10 necklaces, so the remaining (43-1-6-10) = 26 gifts are gift cards. 3/5 of the gifts are wrapped, so there are (3/5 * 26) = 15.6 wrapped gifts. 1/3 of the wrapped gifts are wrapped in pink wrapping paper, so there are (1/3 * 15.6) ≈ 5.2 pink wrapped gifts. Half of them are wrapped with flowers, so there are (1/2 * 5.2) ≈ 2.6 pink and flower wrapped gifts. So, the fraction of gift cards is (26 / 43) = 8/13, which is not the same as the given answer.

Question 17
The total number of students in Mrs. Johnson's class is 18 (8 boys + 10 girls). Since 1/4 of the students in Mrs. Johnson's class are left-handed, 3/4 of the students are right-handed. Therefore, the fraction of students in Mrs. Johnson's class who are right-handed is 3/4.

Question 18
The initial amount of milk was 7 1/2 gallons. After spilling 1/2 gallon, the remaining amount is 7 gallons. The 4 assistants found that 3 1/4 gallons of milk were expired. Therefore, the amount of good milk left is 7 - 3 1/4 = 3 3/4 gallons. Hence, the answer is 3 3/4 gallons, not 2 3/4 gallons as given in the answer.

Question 19
Ava finished 2/3 of a pizza on Monday which means she had 1/3 of the pizza left. She planned to have 1/5 of a pizza on Tuesday. To subtract this fraction we need to find a common denominator. Since 5 and 3 have no common factors, we just need to multiply them together, giving us 15. 1/3 is equal to 5/15, and 1/5 is equal to 3/15. By subtracting 3/15 from 5/15 we get 2/15 of the pizza left after Tuesday's lunch. Therefore, Ava put away 5 - (2/15) = 4 3/5 pizzas.

Question 20
Noah finished 1/2 of a pizza, so he ate (1/2) * 1 = 1/2 pizza. He planned to eat 1/8 of a pizza the next day, which is (1/8) * 1 = 1/8 pizzas in total. So the total amount of pizza that Noah did not eat after Wednesday's dinner is 1 - 1/2 - 1/8 = 3/8 pizzas, which is equal to 1/2 pizza.