This A&E Practice Test for the 2024 Alternative Learning System (ALS) Accreditation and Equivalency (A&E) Test is taken from the Bureau of Alternative Education (BAE). The test is tentatively scheduled on January 26, 2025 for Luzon cluster and on February 2, 2025 for Visayas and Mindanao clusters. No copyright infringement intended.
Direction: Choose the letter of the correct answer.
2024 A&E Practice Test – LS 3 –
Mathematical and Problem-Solving Skills
Source: Bureau of Alternative Learning
1.
Which of
the following polygons can be formed when the given matchsticks are arranged?
(A)
hexagon
(B)
octagon
(C)
heptagon
(D)
pentagon
2.
Daniel’s mother asks him to buy 1½ kilograms of peanuts. He went to a
grocery where the weight of the item was in grams. What mathematical operation
will he use to convert
kilograms to grams?
(A)
addition
(B)
subtraction
(C)
multiplication
(D)
division
3.
Aling Lita is fond of making "maja
blanca." She sliced it into a shape where opposite sides are equal in
length. What type of quadrilateral describes the shape of the "maja
blanca"?
(A)
square
(B)
trapezoid
(C)
rhombus
(D)
parallelogram
For items 4 to 5
Rona writes the letters of the
word below in pieces
of paper and places them in a box.
4.
Rona writes the letters of a word on pieces
of paper and places them in a box. She then draws one letter at a time, without
replacement. If she does this eight times, which of the following will most
likely happen?
(A)
Only vowels will be drawn
(B)
Only consonants will be drawn
(C)
All the letters
will be drawn
(D)
No letter will be drawn
5.
Rona places all the letters back in the box.
She then draws two letters at a time, hoping to come up with a pair of vowels.
Which of the following pairs cannot be the result of her attempt?
(A)
AA
(B)
AE
(C)
EI
(D)
IE
6.
From the letters
in the box, what is the probability of drawing the consonant N?
(A)
One out of two
(B)
One out of five
(C)
Two out of five
(D)
Two out of eight
7. The average body temperature of a cow is 102ºF. Using the formula (ºF – 32) x 5/9 = ºC, what is the body temperature of the cow in degrees Celsius?
(A)
36ºC
(B)
37ºC
(C)
38ºC
(D)
39ºC
8.
If Rex wants to know the floor area of his
room, what is the best instrument to measure it?
(A)
foot ruler
(B)
yardstick
(C)
micrometer gauge
(D)
steel tape measure
For item 9
Monthly Budget of Rivera
Family
|
Type of
Expenses |
Amount |
|
Daily Food |
Php 290.00/day |
|
Water and electric bill |
Php 2,300.00 |
|
Unexpected Miscellaneous |
Php 6,000.00 |
|
Education |
Php 8,000.00 |
9.
The Rivera family earns Php 25,000.00 per
month. The family’s monthly expenses are shown above. On which of the following
did the family spend most of their budget?"
(A)
food
(B)
education
(C)
water and electric bill
(D)
unexpected
miscellaneous
10.
Dr. Garcia went to her laboratory at 6:00 AM and
recorded the room temperature as 10.07 ºC. At lunch, the temperature rose by
26.9 ºC, but by 5:00 PM, it had dropped by 8.05 ºC. What was the room
temperature of the laboratory at 5:00 PM?
(A)
28.85 ºC
(B)
28.92 ºC
(C)
36.80 ºC
(D)
36.97 ºC
11.
Marga had
75 new stuffed toys. She took out 15 of her favorite ones and equally divided
the rest among her 3 sisters. Then, she remembered she still had some old toys
and gave her sisters 4 more each. What mathematical sentence represents the
number of toys each sister had in the end.
(A)
N = 75 – 15
÷ 3 + 4
(B)
N = 75 – 15 ÷ (3 + 4)
(C)
N = (75 – 15) ÷ 3
+ 4
(D)
N = (75 –
15 ÷ 3) + 4
For items 12 to
13
Zeny’s Convenience Store Daily Sales
Record
|
Day |
Amount of Sale |
|
Monday |
Php 6,000.00 |
|
Tuesday |
Php 4,500.00 |
|
Wednesday |
Php 7,000.00 |
|
Thursday |
Php 3,500.00 |
|
Friday |
Php 5,000.00 |
12.
Based on the table above, which day has the lowest sale?
(A)
Monday
(B)
Tuesday
(C)
Wednesday
(D)
Thursday
13.
Which of the following is the correct
mathematical sentence for calculating the total average sales (N) of Zeny’s
Convenience Store?
(A)
N = 6,000 + 4,500 + 7,000 + 3,500 + 5,000
5
(B)
N = 6,000 + 4,500 + 7,000 + 3,500 + 5,000
5
(C)
N = 6,000 + 4,500
+ 7,000 + 3,500 + 5,000
(D)
N = (6,000 + 4,500
+ 7,000 + 3,500 + 5,000) 5
For item 14
14.
Which statement correctly
describes the illustration?
(A)
The kite, flag, school, and flaglets are moving.
(B)
The illustration has the same size and shape.
(C)
The sizes of the triangles and quadrilaterals are the same.
(D)
Triangles and
quadrilaterals can be found in the illustration.
15.
The monthly water consumption of Bailon
Family is 934m³. After the typhoon Tisoy, their water pipe was damaged. Their water consumption became 1020m³. What is the effect of the
damaged water pipe?
(A)
The water consumption decreased by 86m³.
(B)
The water consumption increased by 86m³.
(C)
The water consumption decreased by 86m.
(D)
The water consumption increased by 86m.
For item 16
|
Month |
Electric Meter
Reading |
|
January |
966 |
|
February |
996 |
|
March |
1024 |
|
April |
1059 |
16.
The record above shows Nick's electric meter
readings over three months. The initial reading is 937-kWh. The basic charge
for the first 30 kWh is Php 120.00, and each succeeding kilowatt-hour is
charged Php 6.00. What month will Nick's consumption exceed the 30-kWh limit,
resulting in extra charges?
(A)
January
(B)
February
(C)
March
(D)
April
For item 17
17.
The electric bill of Peter is shown
above. How much more is his electric consumption in May than in March?
(A)
1,000 kWh
(B)
1,500 kWh
(C)
2,000 kWh
(D)
2,500 kWh
18.
If 2
right triangles are put together, a square will be formed. What kind of polygon will be formed if 3 equilateral
triangles are put together?
(A)
square
(B)
rhombus
(C)
trapezoid
(D)
parallelogram
For item 19
19.
Willy and Virgie are planning a party for their classes, and the learners were
asked to vote for their favorite ice cream flavor. The results are shown in the
pictograph above. How many more learners voted for Mocha than for Ube?
(A)
4
(B)
6
(C)
8
(D) 12
For
item 20
20.
To find the greatest common factor (GCF) of 18 and 27, Aya used the listing
method and obtained the results above.
Which of the following
methods is another
way of finding the GCF?
(A)
continuous
addition
(B)
continuous
subtraction
(C)
continuous
multiplication
(D)
continuous division
21.
John’s Personal Identification Number (PIN) to lock his phone is a 4-digit
number. All digits in the PIN are prime numbers arranged
in descending order. What is
John’s PIN?
(A)
2357
(B)
3579
(C)
7532
(D)
9753
For items 22 to
23
David is cleaning the Math Garden
in the school. He found this placard below.
22. What is the place value of the underlined digit in the placard?
(A)
tens
(B)
tenths
(C)
hundredths
(D)
thousands
23. Based on the placard, what would be the
result if 8312.4756 is rounded to the nearest thousandth?
(A)
8312.470
(B)
8312.475
(C)
8312.476
(D) 8312.480
24.
Rick wants to make a diagram of his 4m x 6m fishpond in the backyard. What
shape is suitable for his project?
(A)
trapezoid
(B)
rectangle
(C)
rhombus
(D)
parallelogram
For item 25
|
Teacher |
Station |
Length Of Travel |
|
Warren |
Lipa City |
2.5 kilometers |
|
Nelson |
Batangas City |
2 kilometers |
|
Mavic |
Laguna |
4000 meters |
|
Perla |
Cavite |
3500 meters |
25.
The table above shows the travel distance of each teacher to attend a
conference. Who travelled the farthest?
(A)
Perla
(B)
Mavic
(C)
Nelson
(D) Warren
26.
Mang Joel is a carpenter. His friend sells 3 pieces of 2 x 3 x 10 coco
lumber at Php 120.00 per piece. The same type of lumber costs Php 25.00 per
board foot at the hardware. Based on Mang Joel’s estimate, his friend’s lumber
is cheaper than the lumber from the hardware. What formula did Mang Joel use as
the basis for his computation?
(A)
(T x W x L) + 12
(B)
(T x W x L) – 12
(C)
(T x W x L
x 12)
(D)
(T x W x L) / 12
For items 27
|
Month |
Water
Meter Reading (cm3) |
|
Jun |
0254 |
|
Jul |
0458 |
|
Aug |
0648 |
|
|
|
27.
The table above shows the water consumption
of Ronie. The reading in May was 0113. Which of the following mathematical
statements should Ronie use to calculate the average consumption for 3 months?
(A) N = 0113 + 0254 + 0458 + 0648
3
(B) N = 0113 x 0254 x 0458 x 0648
3
(C) N = (0254 - 0113) + (0458 – 0254) + (0648 – 0458)
3
(D) N = (0254 + 0113) + (0458 + 0254) + (0648 +
0458)
3
---- end of test ----
ANSWERS:
