Word Problems Involving Greatest Common Factor And Least Common Multiple.docx

Word Problems Involving Greatest Common Factor and Least Common Multiple Read each question carefully and think about what the question is asking. Say if you are using LCM or GCF to get your answer. 1. Pencils come in packages of 10. Erasers come in packages of 12. Phillip wants to purchase the smallest number of pencils and erasers so that he will have exactly 1 eraser per pencil. How many packages of pencils and erasers should Phillip buy? 2. Kiara baked 30 oatmeal cookies and 48 chocolate chip cookies to package in plastic containers for her teacher friends at school. She wants to divide the cookies into identical containers so that each container has the same number of each kind of cookie. A. If she wants each container to have t he greatest number of cookies possible, how many plastic containers does she need? B. How many chocolate chip cookies will be in each container? C. How many oatmeal cookies will be in each container? 3. Boxes that are 12 inches tall are being stacked next to boxes that are 18 inches tall. What is the shortest height at which the two stacks will be the same height? 4. 5. 6. 7. 8. 9. 10. 11.

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B. 30-second questions – 3 points each __________1. If the average thickness of books in a 3.5 m long shelf full of books is 3 : 2 cm, about how many books are on the shelf? __________ 2. A team won 18 out of 24 games it played. At the same rate, how many games will it be expected to win in playing 52 games? __________3. A pair of shoes marked ₱650 was bought for ₱546. WhatwWas percent discount? __________4. ∆ABC is isosceles with base BC. If BC = 35 cm and AB is 7 cm longer than BC, what is the perimeter of ∆ABC? __________5. Miss Garcia has 45 students. If each student needs 2 project, how many meters of cloth has she to buy? __________6. If 537 x 287 = 154,119, what is 5,370 x 287,000 ? C. 1-minute questions – 5 points each

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m of cloth for a class

__________1. A circular pond has a circumference of 110 m. What is the length from one point to 22 another point of the pond through the center of the pond? Use = 7 . __________2. Twenty ₱5-coins are to be divided into 4 piles so that there is a different number of coins in each pile, e.g. the coins can be put into 4 piles of 1, 2, 3, 14 coins. What is the smallest possible number of coins that can be placed in the largest pile? __________3. What is the ones digit of 295? ?

__________4. A flower plot is 7.5 m by 5.6 m. How many cubic meters of soil will be needed to raise the soil by 18 cm? __________5. If 2*3 = 15, 3*4 = 28, 5*4 = 36, what is 8*5?

__________6. A car uses 12 liters of gasoline for a distance of 90 km. how many liters will be needed for a round trip to a town 135 km away?

Clincher questions

__________1. Two complementary angles are in the ratio 7 : 8. Find the bigger angle.

__________2. The sum of 3 consecutive numbers is 273. Find the 3 numbers.

__________3. I used ¼ of my money on Monday; 5 7 of what remained on Tuesday and then, I had exactly P60 left. How much had I at first?

Do-Or-Die questions

__________1. A grass lawn is 92 m by 68 m. At each of the 4 corners, there is a flower plot that is 18 m by 12 m. What is the area of the grass?