This ALS A&E practice test for Learning Strand 3 - Mathematical and Problem-Solving Skills is taken from the booklet of the Bureau of Alternative Learning as a reviewer for the 2025-2026 A&E Test - Elementary Level, tentatively scheduled on March 1, 2026.
Direction: Choose the letter of the correct answer.
1.
Which of
the following polygons can be formed when the given matchsticks are arranged?
(A) hexagon (6 sides)
(B)
octagon (8 sides)
(C)
heptagon (7 sides)
(D)
pentagon (5 sides)
2.
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.
3.
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
4.
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 grams to kilograms?
(A)
addition
(B)
subtraction
(C)
multiplication
(D)
division
5.
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 item 6
6.
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
7.
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
8.
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
9 to
11
Rona writes the letters of the word below in pieces of paper and places them in a box.
9.
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
10.
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
11.
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
For items 12 to 13
David is cleaning the Math Garden
in the school. He found this placard below.
12. What is the place value of the underlined digit in the placard?
(A)
tens
(B)
tenths
(C)
hundredths
(D)
thousands
13. 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
For item 14
14. 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
For item 15
|
Teacher |
Station |
Length Of Travel |
|
Warren |
Lipa City |
2.5 kilometers |
|
Nelson |
Batangas City |
2 kilometers |
|
Mavic |
Laguna |
4000 meters |
|
Perla |
Cavite |
3500 meters |
15.
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
For item 16 and 17
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 |
16.
Based on the table above, which day has the lowest sale?
(A)
Monday
(B)
Tuesday
(C)
Wednesday
(D)
Thursday
17.
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 18
18. 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
19.
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
For item 20
|
Month |
Electric Meter
Reading |
|
June |
0254 |
|
July |
0458 |
|
August |
0648 |
21.
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
22.
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
23.
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 24
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 |
24.
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
25.
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
ANSWERS
