Nogales Files for CONGRESS ELEMENTARY SCHOOL

2007 Metrobank-MTAP-DepEd Math Challenge Regional Individual Finals - Grade 6

Solve each item and write the answer on the blank before the number. [ 2 points each]

Use pi = 3.14 or 722

Time: 90

minutes__________ 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 ABC is 3 cm less than a leg. If the

perimeter is 42 cm and the altitude to the base is 1251

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

21

:31

:

125

. How long is the longest piece?

__________ 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?

C:\drived\old_d\2008\Math\MTAP\MTAP\MTAP\Individual Finals\Regional IndividualFinals_2007G6.doc-Page 1 of 3

Nogales Files for CONGRESS ELEMENTARY SCHOOL

__________ 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.

__________ 15. A can 2 dm long and 2 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

45

m wide to cover it. How many meters of

carpet, 23

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 pi = 3.14]

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

C:\drived\old_d\2008\Math\MTAP\MTAP\MTAP\Individual Finals\Regional IndividualFinals_2007G6.doc-Page 2 of 3

P Qab

c

Nogales Files for CONGRESS ELEMENTARY SCHOOL

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?

Filename: Regional Individual Finals_2007G6.doc

C:\drived\old_d\2008\Math\MTAP\MTAP\MTAP\Individual Finals\Regional IndividualFinals_2007G6.doc-Page 3 of 3

Solve each item and write the answer on the blank before the number. [ 2 points each] Use = 3.14 or Time:90 minutesII.Solve on scratch paper. Then, write a neat and complete solution on the given space. Label all parts of the answer. [3 points each] 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]