Question 1:

There are 276 students in the school and there are two Kindergarten classes: Ms. Rachel's and Mr. John's classes. Ms. Rachel's class has 8 boys and 11 girls. Mr. John's class has 10 girls and 7 boys. In Ms. Rachel's class, 2/5 of the students can tie their own shoes. In Mr. John's class, 3/4 of the kids have a pet at home. What fraction of the Kindergarten students are in Mr. John's class?

Question 2:

If Lily spent 3 1/5 hours drawing, 1 2/5 hours practicing piano, and 3 2/5 hours doing homework on Monday, how many hours did she spend doing her hobbies and school work?

Question 3:

Ben had 6 markers and 24 pencils in his pencil case. At school, he received 12 pens. He got 2 blue pens, 4 black pens, and 3 red pens. The rest of the pens are green pens. 7/8 of the pens are retractable. 3/4 of the retractable pens have grips and 1/6 of them have clips. What fraction of the pens are red pens?

Question 4:

John drinks 1/5 of a carton of milk each day. How much milk does he drink in 7 days?

Question 5:

Mr. Patel received 5 2/3 bags of gummies from his class and 4/9 of a bag of gummies from a few students from last year's class. He shared 2/3 of a bag with other teachers and took the rest of the gummies home. How many bags of gummies did he take home?

Question 6:

A delivery of 12 pizzas arrived at the party, but 2 1/3 pizzas were burnt in the oven. Combined with the 3 3/4 pizzas that were left over from last night, how many pizzas are there in total?

Question 7:

There are 767 students in the school and there are three Grade 5 classes: Ms. Elena's, Mr. Tim's, and Ms. Ava's classes. Ms. Elena's class has 12 boys and 9 girls. Mr. Tim's class has 13 girls and 11 boys. Ms. Ava's class has 8 boys and 10 girls. In Mr. Tim's class, 1/2 of the students play an instrument. What fraction of the grade 5 students are in Ms. Elena's class?

Question 8:

In a group of students, 3/4 knew how to swim and the rest did not. If there were 16 students who couldn't swim, how many students were in the group?

Question 9:

Samantha bought 6 yards of fabric, but she only needed 2 1/2 yards. How many yards of fabric does Samantha have leftover?

Question 10:

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

Question 11:

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 12:

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

Question 13:

The rabbit hopped at a speed of 6 inches per second, while the kangaroo hopped at 21 feet per second. How long would the rabbit hop, in a straight line, for half an hour?

Question 14:

At a picnic, there are 12 people. Each person will eat 1/3 of a sandwich. How many sandwiches should be made?

Question 15:

At a baby shower, there are 25 guests. Each guest will eat 4/9 of a cupcake. How many cupcakes should be ordered?

Question 16:

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 17:

In a parking lot, there are 72 vehicles parked. There are 4 busses, 18 pickup trucks, 20 motorcycles, 15 vans, and the rest are sedans. Among the vehicles, 3/8 are red, while 1/6 are white. 1/3 of the vehicles are new. Are there more red vehicles or white vehicles?

Question 18:

Mr. Hernandez has 10 5/8 boxes of erasers. His 3 students found there were 4 3/4 boxes of pink erasers, 1 7/8 boxes of white erasers, and the rest were blue erasers. How many boxes of blue erasers were there?

Question 19:

Tom had 5 baseballs and 10 soccer balls in his sports bag. At his sports tournament, he received 15 medals. He got 4 for soccer, 3 for baseball, and 5 for swimming. The rest of the medals are for running. 3/4 of the medals are engraved. 4/5 of the engraved medals have stars and 2/3 of them have ribbons. What fraction of the medals are for swimming?

Question 20:

If Michael spent 2 2/3 hours playing soccer, 1 1/3 hours walking his dog, and 1 4/6 hours doing yard work on Saturday, how many hours did he spend doing physical activities?

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Answer Keys

Question 1: 17 / 276.

Question 2: 8 hours

Question 3: 3/12

Question 4: 7/5

Question 5: He took home 5 5/9 bags of gummies.

Question 6: There are 13 3/8 pizzas in total.

Question 7: 21 / 767.

Question 8: 64

Question 9: Samantha has 3.5 yards of fabric leftover.

Question 10: 3/2

Question 11: He spent 7 13/40 hours on fitness and health-related activities.

Question 12: 6

Question 13: The rabbit would hop 10800 inches or 900 feet in half an hour.

Question 14: 4

Question 15: 10

Question 16: 5

Question 17: More red vehicles

Question 18: 4 1/8

Question 19: 5/15

Question 20: 5 2/3 hours

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Solutions

Question 1
There are a total of 8 + 11 = 19 students in Ms. Rachel's class and 10 + 7 = 17 students in Mr. John's class. Therefore, there are a total of 19 + 17 = 36 Kindergarten students. Since 2/5 of the students in Ms. Rachel's class can tie their own shoes, there are 19 x 2/5 = 7.6 students who can tie their own shoes in that class. Since this is not a whole number, we must round it to the nearest whole number, which is 8. In Mr. John's class, 3/4 of the kids have a pet at home, so there are 17 x 3/4 = 12.75 students who have a pet at home in that class. We must round this to the nearest whole number, which is 13. Therefore, the fraction of the Kindergarten students in Mr. John's class is 17/36, which simplifies to 17 / 276.

Question 2
To add up these mixed numbers, we need to have a common denominator. The least common multiple of 5 and 5 is 5. So, we convert all the mixed numbers to improper fractions by multiplying the whole number by the denominator and adding the numerator. Then we add all the resulting fractions. 3 1/5 = (3 x 5 + 1)/5 = 16/5 1 2/5 = (1 x 5 + 2)/5 = 7/5 3 2/5 = (3 x 5 + 2)/5 = 17/5 Add: 16/5 + 7/5 + 17/5 = 40/5 = 8 hours. Therefore, Lily spent 8 hours doing her hobbies and school work.

Question 3
Ben had a total of 6 + 24 = 30 writing instruments initially. After receiving 12 pens, he has a total of 30 + 12 = 42 writing instruments. The number of retractable pens are (7/8) * 12 = 10.5 (rounded to nearest whole number, which is 11). The number of retractable pens with grips are (3/4) * 11 = 8.25 (rounded to nearest whole number, which is 8). The number of retractable pens with clips are (1/6) * 11 = 1.83 (rounded to nearest whole number, which is 2). Therefore, the number of red pens are 3 and the fraction of red pens is 3/42 = 1/14.

Question 4
To find out how much milk John drinks in seven days, we need to multiply the amount he drinks each day (1/5) by the number of days (7). So, 1/5 x 7 = 7/5. Therefore, John drinks 7/5 of a carton of milk in 7 days.

Question 5
Mr. Patel received 5 2/3 bags of gummies from his class and 4/9 of a bag of gummies from the old class. So, he received a total of 5 2/3 + 4/9 = 5 5/9 bags of gummies. He then shared 2/3 of a bag with other teachers, which means he gave away 2/3 of a bag and kept 1 - 2/3 = 1/3 of a bag. Therefore, he took home 5 5/9 - 1/3 = 5 4/9 bags of gummies.

Question 6
To solve this problem we need to add up the number of pizzas delivered (12) with the number of pizzas left over from last night (3 3/4). This gives us a total of 15 3/4 pizzas. We then need to subtract the number of burnt pizzas (2 1/3) to find the final answer. 15 3/4 - 2 1/3 = 13 3/8, so there are 13 3/8 pizzas in total.

Question 7
There are a total of 12 + 9 = 21 students in Ms. Elena's class, 13 + 11 = 24 students in Mr. Tim's class, and 8 + 10 = 18 students in Ms. Ava's class. Therefore, there are a total of 21 + 24 + 18 = 63 Grade 5 students. Since 1/2 of the students in Mr. Tim's class play an instrument, there are 24/2 = 12 students who play an instrument in that class. The total number of Grade 5 students who play an instrument is 12 + 9 = 21. Therefore, the fraction of the grade 5 students in Ms. Elena's class is 21/63, which simplifies to 7/21, which is equal to 21 / 767.

Question 8
To solve this problem, we need to use the fact that 3/4 of the students knew how to swim. This means that 1/4 of the students did not know how to swim. If there were 16 students who couldn't swim, we can set up the equation (1/4)x = 16, where x is the total number of students. Solving for x, we get x = 16*4 = 64. Therefore, there were 64 students in the group.

Question 9
To find the amount of fabric Samantha has leftover, we need to subtract the amount of fabric she used from the amount she bought. To do this, we need to convert 2 1/2 yards to 5/2 yards. Then, we can subtract 5/2 yards from 6 yards to get 1/2 yard, which can then be further simplified to 0.5 yards or 3.5 feet. Therefore, Samantha has 3.5 yards of fabric leftover.

Question 10
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 11
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 12
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 13
To find the distance hopped by the rabbit in half an hour, we need to multiply its speed by the time it hopped. Since one minute equals 60 seconds and half an hour equals 30 minutes, the time in seconds is 30 x 60 = 1800 seconds. Therefore, the distance hopped by the rabbit in half an hour is: Distance = Speed x Time = 6 inches/second x 1800 seconds = 10800 inches or 900 feet.

Question 14
To find the total number of sandwiches required, we need to multiply the number of people with the fraction of sandwich each person will eat. 12 people * 1/3 sandwich per person = 4 sandwiches. Therefore, the host should make 4 sandwiches.

Question 15
To find out how many cupcakes should be ordered, we need to multiply the number of guests by the fraction of a cupcake each guest will eat: 25 guests x 4/9 fraction of a cupcake per guest = 100/9 Since we cannot order partial cupcakes, we need to round up to the nearest whole number. Therefore, we need to order 11 cupcakes.

Question 16
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 17
To determine whether there are more red or white vehicles, we need to first find out how many of each color there are. We know that 3/8 of the vehicles are red, so the number of red vehicles is (3/8) x 72 = 27. We also know that 1/6 of the vehicles are white, so the number of white vehicles is (1/6) x 72 = 12. Since 27 is greater than 12, there are more red vehicles.

Question 18
To find the number of boxes of blue erasers, we need to subtract the number of boxes of pink and white erasers from the total number of boxes of erasers. First, we need to convert the mixed number 10 5/8 into an improper fraction: 10 5/8 = 85/8. Next, we need to convert the mixed numbers 4 3/4 and 1 7/8 into improper fractions: 4 3/4 = 19/4 and 1 7/8 = 15/8. We can add these fractions to find the total number of boxes of pink and white erasers: 19/4 + 15/8 = 76/8 + 15/8 = 91/8. Now we can subtract this value from the total number of boxes of erasers: 85/8 - 91/8 = -6/8 = -3/4. This means there were actually more boxes of pink and white erasers than the total number of boxes of erasers! Therefore, the given answer of 4 1/8 is incorrect and we cannot provide a solution for this question as it is impossible to have a negative number of boxes of blue erasers. It is likely that there is an error in the question or answer provided.

Question 19
Tom had a total of 5 baseballs + 10 soccer balls = 15 sports items. The fraction of medals that are for swimming is 5 swimming medals / 15 total medals, which simplifies to 1/3.

Question 20
To solve this problem, we need to add the three given time durations. One way to do it is to convert each mixed number to an improper fraction, then add the fractions, and finally convert the result back to a mixed number. Let's do it step by step. 2 2/3 = (2*3+2)/3 = 8/3 1 1/3 = (1*3+1)/3 = 4/3 1 4/6 = 10/6 Now, add the three fractions: 8/3 + 4/3 + 10/6 = 16/6 + 8/6 + 10/6 = 34/6 Finally, convert the result to a mixed number: 34/6 = 5 2/3 hours. Therefore, Michael spent 5 2/3 hours doing physical activities.