PROBLEM SOLVING
For each problem, select the correct answer. You may use the space at the
right for your computations.
Which of the following has the least numerical value?
1. 7/8 4.) 10/11
2. 8/9 5.) 11/12
3. 9/10
Which of the following numbers is the second largest?
1.) 3/15 4.) 7/15
2.) 4/15 5.) none, all of these numbers are equal
3.) 6/15
If the quantities given are arranged from the least to the greatest, which
one would be less only than the greatest?
1.) 2/6 4.) 6/12
2.) 4/10 5.) 3/4
3.) 5/12
On a number line, which among the following is closest to 1?
1. 5/6 4.) 11/12
2. 7/8 5.) 2
3. 4/5
By how much is larger than -3 ?
1. -1 4.) 5
2. 1
3. -5
Which of the following integers show the largest increase? A change from
_______?
1. 2 to 5 4.) -3 to 0
2. 4 to 7 5) none, they are all equal
3. -1 to 2
What whole number or integer, other than 1 or 53, when divided into 53
yields another whole number?
1. 19 4.) 3
2. 17 5.) none of these
3. 7
The country's over 0.35M public elementary school teachers and officials
receive a general increase. The numerical 0.35M refers to ______?
1. 35,000 4.) 35,000,000
2. 350,000 5.) 350,000,000
3. 3,500,000
Janet sits on the 17th chair from each end of a row. How many chairs are
there in a row?
1. 12 4.) 15
2. 13 5.) 16
3. 14
If 8 girls shared ¾ of an apple pie, what part of the pie did each girl
get?
1. 1/16 4.) 7/8
2. 3/32 5.) None of these
3. 5/24
On an illustration chart, a line ½ dm. long represents 20,000 workers.
What length of a line in dm. will represent 150,000 workers?
1. 3 1/4 4.) 7 1/2
2. 3 3/4 5.) 7 3/4
3. 5 1/4
Considering no waste, how many meters of carpeting material with a width of
1.25 meters are needed to completely cover the floor of a room 4 meters
wide and 5 meters long?
1. 15 4.) 20
2. 16 5.) 26
3. 18
Each border is charged P2, 500 a month for board and lodging. If there are
12 boarders, how much will the owner of the boarding house earn in one half
year?
1. P100, 000 4.) P180,000
2. P130, 000 5.) 200,000
3. P150, 000
What is 12% of 800?
1. 0.096 4.) 96.0
2. 0.96 5.) 960
3. 9.6
An office requested a cash advance of P23, 000 for the purchase of
reference materials and office supplies. What amount was released to the
office if only 13% of the amount requested was granted?
1. P2, 530 4.) 3,220
2. P2, 760 5.) none of these
3. P2, 990
An agency with 3,200 employees plans to reduce its staff by 35%. How many
employees are to be retained?
1. 4, 180 4.) 2, 080
2. 3, 088 5.) 1, 120
3. 2, 180
If 5/6 of the 150 families of a certain barangay are farmers, how many
families are farmers?
1. 125 3.) 95 5.) 65
2. 115 4.) 85
A group consist of 50 people have contributed a total of P225.00. If each
man gave P5.50 and each woman gave P3.00 each, find how many men there were
in the group.
1.) 35 4.) 20
2.) 30 5.) 15
3.) 25
If 40% of 15 liters of a weed killer is water, how much water can be added
to make it contain 75% water?
1. 15 liters 4.) 32 liters
2. 28 liters 5.) 21 liters
3. 19 liters
A certain regional office has ¼ as many filing cabinets as its central
office. If the central office gives 9 filing cabinets to its regional
office, then the regional office will have 4/13 as many as the number that
remains with the central office. How many cabinets does the regional
office have?
1.) 13 3.) 51 5.) 204
2.) 20 4.) 71
A train travels 268 kilometers in 4 hours. How many kilometers can it
travels in 9 hours if it is moving at the same rate?
1.) 67 3.) 453 5.) 1, 340
2.) 168 4.) 603
A man walks at a rate of 7.2 kilometers per hour. How many meters per
minute does he walk?
1.) 100 3.) 115 6.) 125
2.) 105 4.) 120
The average rate of an employee walking is 1,680 meters per hour. If the
distance of his office from his house is 700 meters, what will be the
latest time that he can leave his house to be able to reach his office at
exactly 7:45 a.m.?
1. 7:17 a.m. 4.) 7.30 a.m.
2. 7:28 a.m. 5.) 7:25 a.m.
3. 7:20 a.m.
A man drives 180 km. at a certain speed. The return journey is made at a
speed of 6 kph. Greater and the time of returning is 1 ½ hours less than
the time of going. Find the number of hours he drove on the return trip.
1.) 2 2/5 4.) 4
2.) 6 ½ 5.) 6
3.) 5 2/5
