DEPED TAMBAYAN PH Center of top breaking headlines and current events related to Department of Education. Offers free K-12 Materials you can use and share. http://depedtambayanph.blogspot.com/

For more downloads JOIN DepED Tambayan Official Facebook Group

To receive updates on top breaking headlines and current events related to Department of Education. please LIKE our Official Facebook Page https://www.facebook.com/depedtambayan/

2007 Regional Individual Finals Metrobank-MTAP-DepEd Math Challenge Grade 6 Solve each item and write the answer on the blank before the number. [ 2 points each] Use π = 3.14 __________ 1. A typist can type an average of 85 words in 2 minutes. At this rate, how long would it take to type a term paper of about 1232 words if a 5-minute allowance is given for change of paper? Give the answer to the nearest minute. __________ 2. The base of isosceles perimeter is

ABC is 3 cm less than a leg. If the

42 cm and the altitude to the base is 12

1 5

cm, what is its area?

__________ 3. The outer dimensions of a picture frame are 36 cm by 24 cm. If the frame is uniformly 3 cm around a picture, what is the area of the picture? __________ 4. A park is 115 m long and 95 m wide. How many times must a jogger go around the park completely to make sure he has run at least 5 kilometers? __________ 5. A job can be done by 30 men in 35 days. After 10 days, 5 men left. How long will the remaining men finish the job? __________ 6. A car travels 140 km in 3.5 hours and a train travels 30 km in 50 min. Find the ratio of the speed of the car to that of the train. __________ 7. A hectare of riceland yields an average of 75 cavans per harvest. At that rate about how many cavans, to the nearest cavan, is the yield per harvest of a field 275 m by 250 m. __________ 8. A piece of rope 165 m long is cut into 3 pieces in the ratio How long is the longest piece?

1 2

1

5

3

12

: :

.

__________ 9. Electric posts are 50 m apart. How many posts are needed from town A to town B which are 2.6 km apart if the first post is at A and the last post is at B?

__________ 10. A salesman has a basic salary of P4,500 and a commission of 5% on all sales above P50,000. What were his total sales in a month when he earned P13,177.50? __________ 11. How many cubic meters of soil will be needed to raise a circular plot of radius 7 m by 1.2 dm? __________ 12. What is the remainder when 330 is divided by 4? __________ 13. If 6401 ÷ N gives a quotient of 74 and a remainder of 37, what is N? __________ 14. PQ is a straight line. If ∠b = 3 ∠a – 15o, find ∠b. C

P

b

a

Q

__________ 15. A can 2 ½ dm long and 2 ½ dm wide and 4 dm high is full of oil. How many 250 ml of oil can be filled from it?

II. Solve on scratch paper. Then, write a neat and complete solution on the given space. Label all parts of the answer. [3 points each] 1.A lounge needs 72 m of carpet carpet, 3 2

5 4

m wide to cover it. How many meters of

m wide will cover the same lounge?

2. A boy cycles a certain distance for 42 minutes at 10 km/hr. If he tries to cover the same distance in 35 minutes, what must be his speed? 3. A wooden cube is of side 12 cm. Find the volume of the largest sphere that can be cut from it. [Use π = 3.14]

4. How many degrees is the smaller angle between the hands of a clock at 1:40?

5. A class of 33 students counted off from 1 to 33. Each student who counted a multiple of 3 stood UP. Then, the students who remained seated counted off again from 1 and those who counted a multiple of 3 stood UP. The procedure was repeated. How many students remained seated after the 3rd standing UP?

III. Solve on scratch paper. Then, write a neat and complete solution on the given space. Label all parts of the answer. [5 points each] 1. A machine can cap 1,800 bottles in one hour; another can cap 1,700 bottles an hour. There are 20,000 bottles to be capped. How long will it take the 2 machines to do the capping together?

2. City A is 625 km from City B. Greg left City A at 6:30 A.M. at 100 km/h for City B. Fifteen minutes later, Rey left City B for City A at 80 km/h. At what time will Greg and Rey meet assuming they are using the same road?

3. In one year, the gross income of a company was P16,500,000, which after the payment of all working expenses including salaries, left a balance of P625,000. The next year, the gross income increased by 10% and the working expenses increased by 12%. What balance remained?