Alternative Learning System (ALS)
Accreditation & Equivalency (A&E)
Review Questions
MATHEMATICS with Answers & Solutions
Read each item carefully and then select the letter of the correct
answer.
1. A factory packs 25 small shirts, 30 medium shirts, and 15 large
shirts in one box. If 550 boxes are packed with these shirts, how many shirts
are there in all?
A. 33,000
B. 38,500
C. 44,000
D. 49,500
Answer: B. 38,500
Solution: 25 + 30 + 15 = 70 x
550 = 38,500
2. The Nayon Homeowners Association generated Php 26,000.00 from the
sale of tickets for a fund raising show. Tickets for adults cost Php 150.00
while tickets for children cost Php 100.00 If 112 tickets for adults were sold,
how many tickets for children were sold?
A. 115
B. 100
C. 92
D. 88
Answer: C. 92
Solution: 150x + 100y = 26 000
150(112) + 100y = 26 000
16 800 + 100y = 26 000
100y = 26 000 – 16 800
100y = 9 200
y = 9 200/100
y = 92
3. Perform the indicated operations: 3 + 6 x 5 + 12 ÷ 3 – 7
A. 12
B. 30
C. 42
D. 44
Answer: B. 30
Solution: 3 + 6 x 5 + 12 ÷ 3 – 7 =
3 + (6 x 5) + (12 ÷ 3) – 7 =
3 + 30 + 4 – 7 =
37 – 7 = 30
4. Simplify: 150 + (20 + 5) x 2 – 100
A. 1, 000
B. 500
C. 200
D. 100
Answer: D. 100
Solution: 150 + (20 + 5) x 2 – 100 =
150 + (25) x 2 – 100 =
150 + 50 – 100 =
200 – 100 = 100
5. Lian has a daily allowance of Php 100.00. She spends Php 50.00 for
snacks, Php 25.00 for transportation, and saves the rest. To solve for Lian’s
saving’s S, which of the following number sentence is CORRECT?
A. S = (50 – 25) + 100
B. S = (50 + 25) – 100
C. S = 100 + (50 + 25)
D. S = 100 – (50 + 25)
Answer: D. S = 100 – (50 + 25)
6. Joan bought 2 pencils at Php 20.00 each and a ballpen for Php 30.00.
How much did she pay to the storeowner?
A. C = 2 + 20 + 30
B. C = 2 + 20(30)
C. C = 2(20) + 30
D. C = 2(20) – 30
Answer: C. C = 2(20) + 30
7. A piece of wire that is 7/8 m long will be cut into 16 pieces of
equal length. What is the length of each piece?
A. 128/7 m
B. 128/8 m
C. 7/2 m
D. 7/128 m
Answer: D. 7/128 m
Solution: 7/8 ÷ 16 = 7/8 x 1/16 = 7/128
(Rule on Dividing Fraction)
8. Mrs. Ruiz bought a cake for her son’s birthday. She cut 1/3 of the
cake and kept it. Then she divided the remaining part equally among her 4
children. What part of the cake did each child get?
A. 1/12
B. 1/6
C. 2/3
D. 8/3
Answer: B. 1/6
Solution: 2/3 ÷ 4 = 2/3 x ¼ = 2/12 = 1/6 (Rule on Dividing Fraction
& Reducing to Lowest Term)
9. Every month, the class treasurer collects Php 7.50 from each student
for the class fund. If there are 45 students in a class, how much is her
collection every month?
A. Php 33.75
B. Php 52.50
C. Php 337.50
D. Php 3,375.00
Answer: Php 337.50
Solution: 7.50 x 45 = 337.50
10. At the Science Centrum, Jefferson bought a T-shirt for Php 200.25,
a ballpen for Php 35.50, and a book for Php 105.75. If he gave Php 500.00 to
the cashier, how much change did he get?
A. Php 341.50
B. Php 158.50
C. Php 143.50
D. Php 185.50
Answer: B. Php 158.50
Solution: 500 – (200.25 + 35.50
+ 105.75) =
500 – 341.50 = 158.50
11. The temperature in a certain city is given in the table below. Find
the difference between the temperatures at 5 AM and 11 PM.
Time
|
Temperature (oF)
|
5 AM
|
-90
|
11 AM
|
100
|
5 PM
|
50
|
11 PM
|
-70
|
A. 20 oF
B. -20 oF
C. 10 oF
D. -10 oF
Answer: B. -20 oF
Solution: (-90) – (-70) = (-90) + 70 = -20 (Rule on Subtracting
Integers)
12. Mother lost 3 kg of her weight when she was sick. After recovering,
she gained 7 kg and then lost 2 kg. How much weight she finally lost or gained?
A. lost 2 k
B. lost 1 kg
C. gained 1 kg
D. gained 2 kg
Answer: gained 2 kg
Solution: x = – 3 + 7 – 2
x = -5 + 7 = 2
13. Cora lent 35 pesos to Lita. Then Cora received 50 pesos from her
uncle. Then Cora’s sister borrowed from her 20 pesos. Cora also paid 18 pesos
to a newsboy. Cora still had 43 pesos left. How much did she have at the start?
A. 80 pesos
B. 66 pesos
C. 26 pesos
D. 20 pesos
Answer: B. 66 pesos
Solution: x – 35 + 50 – 20 -18 = 43
x – 73 + 50 = 43
x = 43 + 73 – 50
x = 116 – 50
x = 66
14. The diagonal of the floor of a rectangular room is 10 m. The
shorter side of the room is 6 m. What is the floor area of the room?
A. 48 sq. m.
B. 60 sq. m.
C. 80 sq. m.
D. 480 sq. m.
Answer: A. 48 sq. m.
Solution: Use Pythagorean Formula to solve for the longer side of the
room
c 2 = a2 + b2
102 = 62 + b2
100 = 36 + b2
b2 = 100 – 36
b2 = 64
b = sqrt 64
b = 8
Area of rectangle = length x
width
Area = 8 x 6 = 48 sq. m.
15. If the radius of the circle is 10.5 m, what is its circumference?
A. 13.64 m
B. 16.49 m
C. 32.97 m
D. 65.94 m
Answer: D. 65.94 m
Solution: Circumference (C) = 2 π r
(π = pi = 3.14; r = radius)
C = 2 (3.14) (10.5)
C = 65.94 m
16. Andrew is staying at a hotel that has L-shaped swimming pool. He
wants to know the area of the pool. What is the area of the swimming pool given
the dimensions below:
A. 96 m2
B. 150 m2
C. 160 m2
D. 186 m2
Answer: D. 186 m2
Solution: Total area (TA) = Area of big rectangle + Area of small
rectangle
TA = (length x width) + (length x width)
TA = (15 x 10) + [ 6 x (16 -10)]
TA = 150 + ( 6 x 6)
TA = 150 + 36
TA = 186 m2
17. The park has a rectangular garden that is 18 m long and 9 m wide.
What is the area of the garden?
A. 324 sq. m.
B. 162 sq. m.
C. 54 sq. m.
D. 27 sq. m.
Answer: B. 162 sq. m.
Solution: Area of rectangle (A) = length x width
A = 18 x 9
A = 162 sq. m.
18. Compute for the surface area of a cube of side 6 m.
A. 216 cm2
B. 144 cm2
C. 108 cm2
D. 96 cm2
Answer: 216 cm3
Solution: Surface area of a cube (SA) = 6a2 (a = edge)
SA = 6(6)2
SA = 6(36)
SA = 216 cm2
19. A rectangular prism has a length of 20 cm, a width of 10 cm, and a
height of 30 cm. What is its volume?
A. 6,000 cm3
B. 3,000 cm3
C. 1,400 cm3
D. 60 cm3
Answer: A. 6,000 cm3
Solution: Volume (V) = length x width x height
V = 20 x 10 x 30
V = 6000 cm3
20. In a fruit basket, there are 4 papayas, 9 guavas, and 7 mangoes.
What percent of the fruits are papayas?
A. 2%
B. 4%
C. 8%
D. 20%
Answer: D. 20%
Solution: Percent (P) = (Number of papayas / Total fruits) x 100%
P = 4 / (4 + 9 + 7)
P = 4/20
P = 0.20 x 100%
P = 20%
21. A shirt costs Php 400.00. If it is on sale at 20% discount, how
much will a buyer pay for the shirt?
A. Php 200.00
B. Php 320.00
C. Php 340.00
D. Php 380.00
Answer: B. Php 320.00
Solution: x = 400 – (400 x 20%)
x = 400 – (400 x 0.20)
x = 400 - (80)
x = 400 – 80 = 320
For items 22-24. The graph
below shows Ada’s activities during Saturdays
22. About how many hours Ada has spent in marketing?
A. 17
B. 16
C. 6
D. 4
Answer: D. 4
Solution: Note: there are 24 hours in one day
x = 24 x 17%
x = 24 x 0.17
x = 4.08
x = 4 hours (round off)
23. How many percent does Ada spend in cooking?
A. 12%
B. 15%
C. 17%
D. 33%
Answer: B. 15% (See graph)
24. How many percent lesser does Ada spend in cleaning the house than
in sleeping?
A. 52%
B. 42%
C. 24%
D. 14%
Answer: D. 14%
Solution: Cleaning = 19% ; Sleeping =
33%
x = 33% - 19%
x = 14%
25. Jonas has made a scale model of his proposed new house as shown in
the drawing below. The house is 24 meters long. If the model scale is 1:4 in
centimeters, what is the length of the house in his drawing?
A. 6 cm
B. 10 cm
C. 14 cm
D. 28 cm
Answer: A. 6 cm
Solution: 24/ 4 = 6 cm
