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Mathematics
Quarter 4 – Module 3
Solving Routine and Non-
Routine Problems Involving
Electric and
Water Consumption
Mathematics – Grade 6
Alternative Delivery Mode
Quarter 4 – Module 3: Solving Routine and Non-Routine Problems Involving
Electric and Water Consumption

First Edition, 2020

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Published by the Department of Education Secretary:

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San Antonio

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Module Writers: Susan D. Guardiano, Amelita G. Boloron
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Mathematics
Quarter 4 – Module 3
Solving Routine and
Non-
Routine Problems Involving
Electric and Water
Consumption
 I

LEARNING COMPETENCIES:

1. Reads and interpret electric and water meter

readings. M6ME-IVd-100
2. Solves routine and non-routine problems involving
electric and water consumption. M6ME-IVd-101

OBJECTIVES:
K: Reads and interprets electric and water
consumption.
S: Solves routine and non-routine problems
involving electric and water consumption.
A: Conserves electricity and water wisely.

Directions: Choose from the box the correct answer of the

following:

664 kwh 250 kwh 260 kwh

179 kwh 662 kwh

180 kwh 60 kwh

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Look at the electric bill below, use the information to answer
the questions.

JSG COMPANY
DATE METER READING
January 980 kwh
February 1040 kwh
March 1230 kwh
April 1410 kwh
May 1642 kwh

Using the meter reading, what is the total kilowatt-hour usage

from:

1. January to February

2. January to March

3. March to April

4. January to May

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 Lesson
Solving Routine and Non-Routine Problems Involv

’s In

Directions: Match column A with column B. Use the given formula

for each picture. Write the letter of the correct answer
in your notebook.
Column A Column B

4 cm
1. a. 65.94 cm3
10 cm

V = π 𝑟2 h

2. b. 2143. 57 cm3

V = 1 B•h
3

3. c. 502.40 cm3
48 m

V=1
l•w•h
3
d. 43008 m3
8 cm
4.
e. 501. 40 cm3

V = 4 π 𝑟3
3
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 ’s New

Electric and Water Readings

Mr. Tan is computing his monthly electrical

consumption. Based on his electric bill, last month he was
able to consume 00125 kWh. When he checked his digital
electric meter, the reading is 00199 kWh. How many
kilowatt-hours did Mr. Tan consume this month?

Read the meter readings below.

Present Reading

Previous Reading

For us to get the amount of electricity that Mr. Dela Cruz

consumed, subtract the previous electric meter reading from
the present electric meter reading.

00199 – 00125 = 74 kWh

So, Mr. Tan consumed 74 kWh of electricity for this month.

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 is It

Your electric meter measures the amount of electricity you

use. Just as you purchase kilograms of meat, grams of milk or
liters of gasoline, you buy kilowatt hours (kWh) of electricity.

Reading Electric Meter

In an electromechanical meter, you will notice that there are

five dials and inside each is a pointer which indicates the
number to be read. The pointers will alternately turn clockwise
and counterclockwise .
These dials measure the number of kilowatt-hour (kWh) you use in
1s, 10s, 100s, 1000s, and 10 000s.

Reading Electric Meters

To read electric meters:
1. Always read all the dials from right to left starting from
Dial E to Dial A.
2. Read the numbers by the pointer of the dial. When the
pointer is between the two numbers the lower number
is recorded.
3. The pointer appears to be exactly on a number, check
the dial to the right to find out the correct reading.
 If the dial on the right has passed zero, then use the
number the pointer is pointing on the dial you are
reading.
 If the dial has not passed zero, then make use of
the smaller number on the dial you are reading.

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 The illustration shows the following meter reading on each
dial:
Dial E: The pointer is directly on number 4. Record as 4.
Dial D: The pointer has just passed 9 and is between 9 and 0.
Record as 9.
Dial C: The next dial has passed 7 and is between 7 and 8.
Again record the smaller number which is 7.
Dial B: The pointer looks like it is right on 4 but, the dial to
its right has not passed zero. So, you would record
this as 3.
Dial A: The pointer is between 5 and 6. Record the smaller
number which the pointer just passed, which is 5.

Example 1. Read and interpret the dials on the electric meter

below.

0 7 4 1 5

So, the meter reads 07415 kWh.

Example 2: Read and interpret the dials on the meter below.

2 4 1 2 8

So, the meter reading is 24128 kWh.

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Example 3. Draw the pointers on the dials to show 05632 kWh.

0 5 6 3 2

0 5 6 3 2

READING A WATER METER

The older style of water meters is those with small dials.
It looks like a series of small clocks that turn clockwise
(see picture below). The unit we use for this
measurement is cubic meters (m3). The rules of reading a
water meter with dials are like the way an electric meter is
being read.

To read water meters:

1.Start reading from right to left (clockwise). Read the
number by the pointer of the dial. When the pointer
is between two numbers, the lower number is
recorded.
2.When the pointer is directly on the number, look at the
dial to the right. If it has passed zero, use the next higher
number. If the dial has not passed zero, use the lower
number.
3.Record the numbers from right to left.

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Example 4: Read and interpret the dials on the meter below. The
rightmost dial has the highest value.

To get the exact meter reading, start from the right to

left or the highest numbered dial (clockwise).

So, the water meter shows 3518 m3.

Today, most households use a water meter with

odometer to measure the amount of water
consumption. See the picture at the right.

Example 5.
Jose made a record of their 3-month electric
consumptions. The initial reading is 973 kWh.

January: 1120 February: 1353 March: 1512

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Assume that the basic charge for the first 30 kWh is
₱120.00 and the succeeding kilowatt-hour is charge
₱6.00.

a. How much will Jose pay for each month?

b. In what month did he pay the most? The least?
c. What is the average monthly consumption?

UNDERSTAND:
a. What is asked?
 The consumption that Jose will pay for each month
of electricity they consumed.
 The month with the highest and lowest electricity bill.
 The average monthly consumption.

b. What are the given facts?

 The initial reading is 973 kWh.

 January, February, and March readings are
1120kWh, 1353kWh, and 1512kWh, respectively.
 The basic charge for the first 30 kWh is ₱120.00 and
the next kilowatt-hour is charge ₱6.00.

PLAN: What operations shall we use to solve the

problem? Select your own strategy.

To get the amount that Jose will pay for each

month: subtract the initial reading from first month’s
reading. For the following month, subtract the previous
month’s reading from the current month’s reading.
Then, to get the amount Jose will pay for, subtract 30
kWh from the monthly kWh consumption, then multiply
the result by
₱6.00. Afterwards, add the amount for the first 30 kWh
which is ₱120.00.
To get the average monthly consumption, get
the total consumption for three months then divide it by

1
3.

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Solve: Show the computation.
a. To get every month’s electric consumption:
January: 1120 – 973 = 147 kWh
February: 1353 – 1120 = 232 kWh
March: 1512 – 1353 = 159 kWh

Now, to get the amount for each monthly

consumption with the conditions that the first
30 kWh is ₱120.00 and ₱6.00 per remaining
kilowatt- hour. That is,
January: 147 kWh 120 + [(147 - 30) x 6]
120 + [(147 - 30) x 6] = 120 + (117 x 6)
= 120 + 702
= ₱822.00
So, for January he will pay ₱822.00.

February: 232 kWh 120 + [(232 – 30) x 6]

120 + [(232 – 30) x 6] = 120 + (202 x 6)
= 120 + 1212
= ₱1,332.00
So, for February he will pay ₱1,332.00.

March: 159 kWh 120 + [(159 – 30) x 6]

120 + [(159 – 30) x 6] = 120 + (129 x 6)
= 120 + 774
= ₱894.00
So, for February he will pay ₱894.00.

b. See computation (a). The month with the highest

(most) electricity consumption was February with 232
kWh consumption. They consumed the least amount
of electricity on the month of January with 147 kWh.

c. The computation below shows the average

monthly consumption.
147+232+159
Average monthly consumption = 538
3 = 3
≈ 179.33

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 So, the average monthly electricity consumption is
approximately 179.33 kWh.

Answer: The following are the answers to the questions:

a. He will pay ₱822.00, ₱1,332.00, ₱894.00 for the month of
January, February, and March, respectively.

b. The month with the highest (most) electricity

consumption was in February. They consumed least
amount of electricity on the month of January.

c. The average monthly consumption is approximately

179.33 kWh.

Check: Check you answer. This is one way on how to

check if your answer is correct.

Go back to your computation, check if all

given values are properly used about the
given condition especially for computing the
amounts.
Example 6: Jose’s record of their water consumption is as follows:
Initial Reading: 0114

January: 0256 February: 0459 March: 0651

a. On what month did he use most water?

b. How many cubic meters of water did they use for
3 months?
c. Solve the average monthly consumption in cubic
meters.

UNDERSTAND:
a. What are asked?
 The month which they used the most amount of
water.
 The total amount of water (in cubic meters)
consumed within 3 months periods.
 The average monthly consumption (in cubic
meters).

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b. What are the given facts?
 Initial reading: 0114
 January Reading: 0256
 February Reading: 0459
 March Reading: 0651

PLAN:
What operations shall we use to solve the problem?
Select your own strategy. There are three questions in
the problem. You may use the following method to
solve each question.
a. Find the amount of water they consumed every
month by subtracting the initial reading from the
first month’s reading, then the previous month’s
reading from the current month’s reading, and so
on to identify the month which they used the most
water.

b.To get the total amount of water consumed, add

all the water consumption for three months.

c. To get the average monthly consumption, divide the

total (from b) by 3, the number of months covered.

SOLVE: Show the computation.

a. Having an initial reading of 0114, so the water
consumption for each month is:
January:
0256
‒ 0114
142 m3 water consumption for January
February:
0459
‒ 0256
203 m3 water consumption for February
March:
0651
‒ 0459
192 m3 water consumption for March
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 b. To get the total amount of water consumed:
142 + 203 + 192 = 537 m3
c. To get the average monthly consumption:
537
Average monthly consumption =
3 = 179 m3

ANSWER:
a. They consumed 142 m3 for January, 203 m3 for
February, 192 m3 for March.
b. The total consumption for 3 months is 537 m3.
c. The average monthly consumption is about 179 m3.

Check: Check your answer. This is one way on how

to check if your answer is correct: Go back to
your computation, check if all the given
values are properly used.

’s More

Directions: Choose the letter of the correct answer and write

it in your notebook.

1.
_kWh

a. 02683 kWh c. 03486 kWh

b. 02856 kWh d. 04836 kWh

2.

m3
a. 0841 m3 c. 0184 m3
b. 0840 m3 d. 0148 m3

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 3. For the month of July, the volume of water consumption
of JBM restaurant is 145 m3. If the current reading is
21390, what the was the previous reading?
a. 21225 m3 c. 22235 m3
b. 21245 m3 d. 22345 m3

4. In a certain school, the reading for the month of June in

the electric dials was 87214. If the reading of the
preceding month, May, was 85569, what was the
amount of electricity consumed for the given period?

a. 1645 kWh c.1641 kWh

b. 1643 kWh d. 1640 kWh

I Have Learned

 Remember This!

1. Electricity is measured in kilowatt-hour. An electric meter is

used to measure how much electricity is consumed.
2. Water is measured by a water meter that works like a
speedometer in cars. The unit of measure is the cubic
meter, written as m3.
3. To get the electric or water consumption for the month,
subtract the two consecutive readings like this:

Consumption = Current Meter Reading – Previous Meter Reading

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 I Can Do

Directions: Draw the dials and solve for the consumption in a

month. Choose the letter of the correct answer. Do
this in your notebook.

1. Current Reading: 14752

Previous Reading: 13844
Consumption:

a. 906 kWh b. 907 kWh c. 908 kWh d. 909 kWh

2. Current Reading: 1203 Previous Reading: 0123

Consumption:

a. 1061 𝑚3 b. 1080 𝑚3 c. 1081 𝑚3 d. 1082 𝑚3

3. Last month, the electric meter reading was 7987 kWh. This month,
the reading was 8325 kWh. If electricity costs ₱3.00 per kWh, how
much will I pay?

a. ₱1014 b. ₱1194.00 c. ₱1914.20 d. ₱11491.00

4. On July, the water meter reading was 3411 m3. The next
month, the reading was 3619 m3. How much water was
consumed?

a. 206 𝑚3 b. 208 𝑚3 c. 212 𝑚3 d. 216 𝑚3

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A. Directions: Encircle the letter of the correct reading of the
following dials.

1.

a. 22143 b. 21113 c. 21213 d. 22114

2.

a. 09382 b. 10392 c. 11382 d. 19492

B. Solve the following problem. Write the letter of the

correct answer in your notebook.

3. The electric meter reading of the Reyes Family last month

was 7628 kWh. The present reading was 8340 kWh.
How much electricity was consumed in one month?

a. 725 kWh b. 721 kWh c. 712 kWh d. 702 kWh

4. The previous water meter reading at Mel’s residence was
3142 m3, the following month, the reading was 3206 m3.
How much water consumed in one month?

a. 64 𝑚3 b. 68 𝑚3 c. 69 𝑚3 d. 72 𝑚3

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A. Directions: Copy and complete the table. Do this in your
notebook.

Month Readings m3 Consumed

Present Previous
1. January 2062 2124
2. February 2032 2153
3. March 2150 2185
4. April 2188 2232

B. Directions: Use the data above to answer the following

questions.

1. In what month was the largest volume of water consumed?

2. In what month was the least volume of water consumed?

3. How much more was the consumption in January than in

February?
4. What was the total volume of water from January to April?

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References

Department of Education.R ealistic Math 6:

Department of Education. 21st Century MATHletes 6.
Department of Education. Mathematics For Everyday Use 6.

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