Board Licensure Examination for Professional Teachers Reviewer

EXERCISES IN MATHEMATICS

EXERCISE II

Direction: observe how the following problems are solved:

Problem 1.   A certain football team has a number of wins and loses. In its first 40 games, 40% were loses. How many of the 20 games the team has still to play to have its number of victories equal to 65% of total games played?

Problem 2.   If 40 students can paint a school fence in 7 days, how long will it take 10 students to do the same job?

Problem 3.   In an office, 240 reams of bond paper were distributed equally among the different divisions found in the place. If there had been 4 divisions more and each would receive 4/5 as many, how many divisions were there?

Problem 4.   A toy robot cost P680.00 at Toy Kingdom but a Toy World, the same toy cost P575.00. By what percent was the price lower at Toy World?

Problem 5.   Mrs. Santos prepares 12 qts. of calamansi beverage for her family. If the drink contains 20% calamansi juice, how much water should she add to reduce the calamansi portion to 15%?

Problem 6.   If a group of 20 factory workers can finish a job in 6 days, how many more workers should be put on the job to complete the job in 4 days?

Problem 7.   Find the ratio of 24 members of a barangay are grouped into 2, such that 1 barangay exceeds the other by 6 members?

Problem 8.   Pursuant to a President Decree giving land to the landless, a certain land transfer operation in Bulacan was completed in 14 months. This was about 3/10 less of the entire number of months allowed to finish the operation. Find the length of time allotted for the purpose?

Problem 9.   If machine A can produce 200 articles in 1 hr. and 78 minutes and machine B can make the same number in 2 hrs. and 36 minutes, how long will it take for both machines to make 200 articles?

Problem 10. A 90 hectare plantation is to be divided in the ratio of 1 : 2 : 3 among three brothers where the youngest receives the smallest parcel and the eldest, the largest share. How many hectares will each brother receive?

Problem 11. If 120 hollow blocks cost P780.00, what is the cost of 75 hollow blocks?

a.     420.25

b.     495.00

c.      425.00

d.     487.00

e.     None of these

Problem 12. If 16% of the workers in a textile factory were 288 and 16% were laid off, how many workers were retained?

a.     1,512

b.     1,515

c.      1,520

d.     1,525

e.     None of these