Division
Prime Factorization
GCF
LCM
Adding Fractions
100

The junior ranger asked Christian to help him place 15,960 seedlings in packets. If every packet needs to contain 152 seeds, how many packets do they need?

They need 105 packets.

100

Write out the prime factorization for 60.

2 x 2 x 3 x 5

100

Find the greatest common factor of 20 and 25.

The GCF is 5.

100

Find the least common multiple of 9 and 12.

The LCM is 36.

100

Find the sum. Simplify your answer.

68/100 +  24/100 = ?

23/25

200

How many hours are there in 660 minutes?

Important information to know: 1 hour = 60 minutes

660 ÷ 60 = 11, so there are 11 hours in 660 minutes.

200

Write out the prime factorization for 63.

3 x 3 x 7

200

Find the greatest common factor of 14 and 16. 

The GCF is 2.

200

Find the least common multiple of 8 and 22.

The LCM is 88.

200

Find the sum. Simplify your answer.

9/50 + 24/50 = ?

33/50

300

A stadium has 10,500 seats and 8 VIP boxes. The stadium is divided into 12 equal sections: 2 premium sections and 10 standard sections. A seat at the premium section costs $48 per game. A seat at the standard section costs $27 per game. How many seats are there in each section?

10,500 ÷ 12 = 875

There are 875 seats in each section.

300

Write out the prime factorization for 225 using factor tree method. Show your solution.

3 x 3 x 5 x 5

300

Find the greatest common factor of 28, 22, and 90.

The GCF is 2.

300

Find the least common multiple of 14 and 16.

The LCM is 112.

300

Find the sum. Simplify your answer.

3 7/8 + 5/8 = ?

4 1/2

400

In a school, there are 12 classes with 35 students each and 14 teachers. If the students are divided equally among the teachers, what is the number of the students each teacher is responsible for?

35 x 12 = 420 There are 420 students in total.

420 ÷ 14 = 30

Each teacher is responsible for 30 students.

400

Write out the prime factorization for 144 using upside down division. Show your solution.

2 x 2 x 2 x 2 x 3 x 3 x 3 

400

Mei has 15 oranges, 9 peaches and 18 pears. She wants to put all of the fruit into baskets with each basket having the same number of pieces of fruit in it. Without mixing the fruit, what is the greatest number of pieces of fruit Mei can put in each basket?

Factors of 15: 1, 3, 5, 15

9: 1, 3, 9

18: 1, 2, 3, 6, 9, 18

She can pack 3 pieces of fruit in each basket.

400

At the gym, Hillary swims every 6 days, runs every 4 days, and cycles every 16 days. If she did all three activities today, in how many days will she do all three activities again on the same day?

Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52.

6: 6, 12, 18, 24, 30, 36, 42, 48, 54.

16: 16, 32, 48


In 48 days, she will do all three on the same day.

400

Oliver took 7/10 hours to travel from his house to his office. After 8 hours of work, he travelled 8/10 hours from his office to his house. How long altogether did Oliver travel on that day?

Oliver travelled 3/2 or 1 1/2 hours that day.

500

A fitness center has a swimming pool and a gym. There are 3,924 members in the fitness club. There are two kinds of membership: regular and VIP. Each regular member pays $25 per month and each VIP member pays $480 per year. For every 30 members, the fitness center must hire 1 staff member for the gym. How many staff members does the fitness center need to hire for the gym? Round off to the nearest whole number.

3,924 ÷ 30 = 130.8

The fitness center needs to hire 131 staff members.

500

Write out the prime factorization for 108 using upside down division. Show your solution.

2 × 2 × 3 × 3 × 3

500

Oscar needs to ship 14 rock CDs, 12 classical CDs, and 8 pop CDs. He can pack only one type of CD in each box, and he must pack the same number of CDs in each box. What is the greatest number of CDs Oscar can pack in each box?

Factors of 14: 1, 2, 7, 14

12: 1, 2, 3, 4, 6, 12 8: 1, 2, 4, 8

He can pack 2 CDs in each box.

500

A full moon occurs every 30 days. If the last full moon occurred on a Friday, how many days will pass before a full moon occurs again on a Friday?

To find a common multiple, we can multiply 30 days by 7 days in a Week (to end up on Friday again).

30 x 7 = 210 It will take 210 days.

500

A football team was training for four hours. During the first hour, they practiced for 5/8 of an hour. During the second hour, they practiced for 2/3 of an hour. How much time did they spend practicing in total? 

The team spent 31/24 or 1 7/24 hours practicing. 

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