Board Licensure Examination for Professional Teachers Reviewer

MATHEMATICS

EXERCISE II

ANSWERS AND SOLUTION

Problem 1.

Answer: c. 1pm.

Distance = rate x time

In order to find out the total traveling time of Mary Ann from point of             origin to her destination, based on the formula above:

T = Distance/rate thus, 300 km. / 60 km./hr. = 5 hours total travelling time

Therefore, Mary Ann must leave by 1pm to reach her destination by 6 pm.

Problem 2.

Answer: c. 90 miles per hour

Distance = rate x time

120 miles per hour = 1 hour and 20 minutes

120 mph/80 = 80 minutes/80

Rate = 1.5 miles per minute

1.5 miles x 60 minutes

90 miles per hour

Problem 3.

Answer: d. 360˚ in 5 seconds

360 ˚ = 1 complete rotation

360 ˚ x 12 times = 4,320 degrees in one minute

4,320 /60 seconds = 72 ˚ in one second

72 ˚ x 5 seconds = 360 ˚ in 5 seconds

Problem 4.

Answer: a. 8

P17.00 / P4.25 = 4 x 2 = 8

Problem 5.

Answer: b. 60

270/9 = 30 No. of 9’s

30 x 2 = 60

Problem 6.

Answer: a. P600

24 months / 2 = 12

P7, 200 / 12 = P600

Problem 7.

Answer: a. a gain of P4

P200 x 0.06 = P12

P12 – 12 = P1 interest for 1 month

P200 x 2 ½% = P5

P200 – P1 = P199 borrowed

P200 – P5 = 195 amount par

P4 gained

Problem 8.

Answer: e. none of these

Let x = No. of men to finish in 4 days

20 : x = 4 : 6

4x = 120

X = 30 men to finish in 4 days

30 – 20 = 10 men to be added

Problem 9.

Answer: e. P42, 611.25

For 2000 : P 200,000.00 x 165% = P33,000.00

For 2001 : P starting balance = P200,000.00 + P33,000.00

= P233, 000.00

Monthly interest rate = 16.5% / 12

= 1.375% monthly

Monthly interest for 2001 = P233, 000.00 x 1.375%

=P3,203.75 monthly

1st quarter 2001 interest : P3,2013.75 x 3 months

=P9, 611.25

Total interest earned:

= P33, 000.00 + P9,611.25

=P42, 611.25

Problem 10.

Answer: b. P10, 619.46 monthly net income

Tax paid = income tax rate x annual net income

Tax rate = 28 ¼% = .2825

P36, 000.00 / .2825 = P127, 433.60

Monthly income = P127, 433.60

=P10, 619.46 monthly income

Problem 11.

Answer: P1, 829.88

1 sq. m = 10.764 sq. ft.

20sq. (10.764)

215.28 sq. ft.

20 sq. of m = 215.28 sq. ft.

P 8.50 / sq. ft x 215.28 sq. ft.

P 1,829.88

Problem 12.

Answer: e. none of these

5/6 = 350/d or 5 : 6 = 350 : d

5d = 6 x 350

d = (6 x 350)/5 = 420

Problem 13.

Answer: d. 224

7 = N or 7 : 8 = N : 26

8 256             8N = 7 x 256

N = (7 x 256)/8 = 224