1. 5 3/4 – 3 7/8=_______.
A . 1
7/8
B. 2
7/8
C. 1
5/8
D. 2
5/8
Answer: A
2. 30% of 65 is what percent of 120
A. 14.50%
B. 18%
C. 16.25%
D. 12.75%
Answer: C
3. What are the factors of 65x3-35x2 +5x?
A. 5x(13x3-7x+1
B. 5(13x3-7x+1)
C. -5(13 – 7x + 1)
D. 5(13 - 7 + x)
Answer: A
Rationale:
65x3/13x25x;-35x2/-7x=5x;5x/1=5x
4. A 25 hectare farm land produces 350 cavans of palay. How many cavans
can a 60-hectare land produce?
A 800
B. 840
C. 880
D. 920
Answer: B
Rationale:
25:350 = 60:x (Ratios of land area to number of cavans)
25x = (3500(60) (Product of extremes equals product of means)
25x = 21,000 (Multiplying 350 and 60)
x = 840 (Dividing by 25)
5. How many square feet of paper would be needed to cover a box in all
sides? The box is 5 feet long, 3 feet wide and 1.5 feet high.
A. 54
B. 27
C. 96
D. 48
Answer: A
Rationale: Covering = Total
surface area
TSA= 2(lw + wh lh) = 2 (15 + 4.5 + 7.5) = 54
6. A company issues a 3- letter security code to each of its employees.
How many distinct codes can be generated if each letter can be used only once
for each code?
A 75
B. 78
C. 15,600
D. 17,576
Answer: C
Rationale: There are 26
letters in the English alphabet. By the multiplication rule, the number of
security codes is (26)(25)(24) = 15,600
7. A 3-foot high tree casts a shadow 4
feet long. Another tree, casts a 24 feet shadow. If the heights and shadows are
in proportion, how high is the second tree?
A. 18
B. 20
C. 21
D. 24
Answer: A
Rationale:
4x = 72
3:4 = x:24 (Ratios of tree height to
shadow length)
4x = (3) (24) (Product of means equals product
of extremes)
4x = 72
x = 18
8. A community covers 300 hectares of
land, 1/8 of the land was reserved for common areas like parks and roads and
the rest for residences. How many hectares were used for residences?
A. 250
B. 262.5
C. 240.5
D. 260
Answer: B
9. When a man died, he left a large tract
of land to his wife and five children. How large is the share of the wife if
the total land area is 66 hectares?
A. 11 ha
B. 22 ha
C. 13.2 ha
D. 26.4 ha
Answer: A
10. A student got his report card and saw the
following grades: 85, 72, 80, 88 and 90. What is his average grade?
A. 84
B. 82,5
C. 83
D. 87
Answer: C
11. A water pipe 10 feet long was cut into
2 with the shorter part measuring 2.5 feet. Find the ratio of the smaller part
to the larger part.
A 2.5:10
B. 1:4
C. 1:3
D. 4:5
Answer: C
12. A meter stick breaks into two Pieces
at the 36 cm. mark. What is the ratio of the smaller piece to the larger piece?
A. 2:3
B. 9:16
C. 13:50
D. 9:25
Answer: B
13. How many meters longer is a mile than
a kilometer? There are 1,609 kilometers in a mile.
A. 609
B. 600
C. 1000
D. 1609
Answer: A
Rationale:
1 mile - 1 km = 1.609 – 1= .609 km = 609 m
14. Floor tiles will be placed in a
bathroom which measures 3.5 meters by 2.6 meters. How many square meters will
be tiled?
A. 8.2
B. 9.1
C. 9.8
D. 10.2
Answer: B
Rationale:
Area =l x w
Area = (3.5) 2.6) = 9.1
15. How much cloth is required to cover a
round table whose diameter is 1.5 meters?
A. 17.67 sq.
B. 15.76 sq.
C. 1.767 sq.
D. 1.676 sq.
Answer: C
16. What is the area of a triangular piece
of land which has a "base" of 940m and a "height' of 128m?
A. 60,160 sq.
B. 120,320 sq.
C. 80,120 sq.
D. 160,240 sq.
Answer: C
17. A bond paper is folded in half, after
which it is folded again in half, and again in half. If this folding is done 5
times, how many rectangles on the original sheet of paper will there be?
A. 10
6. 16
C. 32
D. 64
Answer: C
Rationale:
The following shows the relationship
between the number of folds and the number of rectangles generated:
|
FOLDS |
RECTANGLES |
|
1 |
2= 21 |
|
2 |
4= 22 |
|
3 |
8= 23 |
|
… |
… |
|
5 |
25 = 32 |
Notice how the number of folds is the
exponent of 2 in the number of
rectangles generated? So when we have 5
folds, we have 25 = 32 rectangles.
18. A rectangular field is 20 meters by 12
meters. Find its perimeter.
A. 32m
B. 64m
C. 240m
D. 120m
Answer: B
Rationale:
P = 2(l + w)
P = 2(20 + 12) = 64
19. A graduating class of 160 boys and 180
girls held a senior's ball. Approximately what percent attended if 60% of the
girls and 70% of the boys were there?
A. 64.71%
B. 67.06%
C. 62.73%
D. 68.97%
Answer: A
20. A merchant sold an item for P45, 000, in the process earning for himself a 15%
profit. How much is the profit?
A. 3,000
B. P6,750
C. P51,750
D. P4,750
Answer: B
Rationale:
45,000(.15) = 6,750
21. A swimming pool is 50 meters long. How
many times will a swimmer traverse the entire length of the pool if he needs to
cover 200 meters?
A. 16
B. 10
C. 5
D. 4
Answer: D
22. How much would P180, 000 amounts to in
20 years if it earns 9% per annum?
A. P604,000
B. P704,000
C. P 504,000
D. P 404,000
Answer: C
Rationale:
F = P (1 + rt) (Formula for the maturity
value using simple interest)
F =180.000(1 + (.09) (20)) = 504,000
23. A big container contains 12 liters when it is 30% full. How much does
it contain when it is 90% full?
A. 36 L
B. 42 L
C. 48 L
D. 64 L
Answer: A
Rationale:
Using a proportion, we have 12:0.30 7 x:
0.90
where x is the unknown quantity
0.30x = 12(0.90)
0.30x = 10.8
x = 36
24. A book is 2 ½ cm thick. How many copies
of this book can be placed in
a shelf one meter long?
A. 36
B. 40
C. 44
D. 45
Answer: B
Rationale:
1 meter divided by 2 ½ cm
100cm/2.5 = 40
25. If
you are currently earning P22, 000 a month, how much will your new salary be if
you are to receive a 4% increase next month?
A. P24,330
B. P 25,440
C. P 26,560
D. P 22,880
Answer: B
Rationale:
22,000(1,04) =2200
26. A box weighs 1.3 kilos when it is empty.
A bottle of wine weighs 1.5 kilos, Which expression gives the weight of the box
when it filled with y bottles?
A. 1.5y -1.3
B. 1.3 + 1.5y
C. 1.3y + 1.5y
D. 1.3y 4- 1.5
Answer: B
Rationale:
y bottles at 1.5 kilos each will weigh
1.5y kilos, Add to this the weight of the box. The total weight is 1.3 + 1.5y.
27. Elmer can paint a room in 10 hours, Erwin
can finish the same task in 12 hours. How long will it take the two of them if
they work together?
A. 4 hrs
B. 5.25 hrs
C. 6.25 hrs
D. 5.45 hrs
28. Aria is packing her things. She needs
a box which can hold 75 cubic inches. Which of the following could fit her
need?
A. 3x5x5 inches
B. 3x6x5 inches
C. 3x6x7 inches
D. 4x4x4 inches
Answer: A
Rationale: Volume of the box = lwh
Try A: V. =3(5)(5) = 750 in2
29. In a PBA game last week, Terrence
Romeo attempted 40 shots and made 65% of them. How many shots did he make?
A. 26
B. 28
C. 32
D. 30
Answer: A
Rationale:
40(.65) = 26
30. At what rate of interest should 24,000
be invested so that it will earn P1,080 in 9 months?
A. 6 ½ %
B. 5
C. 5 %
D. 6 %
Answer: D