23% of 45 is what percent of 69?

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This is a typical grade 4 competition Math problem

23% of 45 is what percent of 69?

The conventional solution is to simply do the arithmetic

23% of 45 = 0.23 x 45 = 10.35 (By long multiplication)
10.35/69 = 0.15 = 15% (by long division)

This is actually algebra, but instead of asking the student for the value of x  we asked “what percent of.”  But that is another story.  🙂

An imaginative MATH-Inic student will have an alternative solution using logic.

Notice that 23 is 1/3 of 69 and remember that 45 is 3 * 15.  Mentally, our MATH-Inic student will think:

  • 23% of 45 = 23/3 % of 3*15
  • which is the same as 69% of 15
  • which is the same as 15% of 69
  • which means 15% is our answer

Effectively, he gave the answer from logic instead of from long multiplication and long division!


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A Mental Math Workshop for Parents and Teachers

Avail of the Early Bird Rate if you register and pay at least three weeks before the event. Call 0917.5004796 now!  You may also send your message to

Available Dates:

April 23, 2016, Saturday – 8:30am to 5pm [Register Here]
May 14, 2016, Saturday – 8:30am to 5pm [Register Here]
June 18, 2016, Saturday – 8:30am to 5pm [Register Here]

2/F Balai Lakbay, 2 Alondras St cor Congressional Ave Ext, Mira-Nila Homes, Quezon City

The workshop includes discussions and demonstrations on:

  • whole brained teaching
  • different learning styles
  • how Math can be taught better
  • teaching young learners
    • how to count (and write numbers)
    • how to use the counting table
    • addition and subtraction
  • multiplication patterns
  • dividing by special numbers
  • base multiplication
  • fractions
  • squaring numbers
  • additional Math Short Cuts

Suitable for parents and teachers of learners ages 3 to 16 years old.

Workshop fee is inclusive of worksheets, 25 Math Short Cuts book and accompanying workbook, certificate of attendance, snacks and lunch.
The workshop will be most useful in my advance math class. This will challenge them to really understand, connect and put together all the lessons taken in class as well as help them prepare for competitions inside and outside the school.
– Teacher Maybelline

MATH-Inic offers so many fun and exciting ways of solving number problems.
– Teacher Regina

After the seminar, I had a lot of ideas now, and I had additional knowledge on how to make math easier. I will surely apply the ideas I got from the seminar. It was a big help. Thank you, I had fun!
– Teacher Lorena

I learned tons of new techniques, and also enjoyed a lot. I’m eager to share these newfound techniques to my kids.
– Mommy Karen

The excellent trainers of Math-inic showed a lot of easy techniques in computing numbers mentally.
– Teacher Jethro

25 Math Short Cuts

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25 Math Shortcuts

The book “25 Math Short Cuts” by Virgilio “Ike” Y. Prudente, the Creator of MATH-Inic, will be coming out on December 4, 2014.


“I like your book, Ike – it’s packed with useful calculation methods, neat maths tricks and amusing anecdotes, and all explained in a fun and very readable style. Good luck with it and all your other excellent endeavours.”
Kenneth R. Williams
Founder, Vedic Maths Academy, UK
Author of more than 20 books and articles in Vedic Math
Vedic Math researcher since 1970
“What I see in Indian math, and in this book’s collection of “tricks”,  is practical algebra. The “tricks” are important, cognitively. They will be important for our children, a way of ensuring that they understand math before calculators and computers come in.”
Michael L. Tan, PhD
University of the Philippines
Diliman, Quezon City

Order your copy here.


Enroll at MATH-Inic for Math that is Fun, Fast and Easy

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MATH-Inic: Math made FUN, FAST and EASY! Enroll now!

MATH-Init Leveling Up

For inquiries:
MATH-Inic Bacolod City G/F University Courtyard, La Salle Avenue, Bacolod City, Negros Occidental (0917) 920 9270 (0942) 388 6775

MATH-Inic Congressional Ave., Quezon City 2/F Balai Lakbay, #2 Alondras St. corner Congressional Ave. Ext., Mira-Nila Homes, Quezon City (0917) 500 4796 (0922) 800 4796

MATH-Inic Dasmarinas City GEM Bldg., #24 N. Guevarra St., Zone I, Dasmarinas City, Cavite (046) 416 0671 (046) 416 4028

MATH-Inic Puerto Princesa City Palawan State University Laboratory Elementary School (0928) 977 2965 or (048) 433 2158

MATH-Inic San Carlos City Hide and Seek Kiddie Corner, Palaris St., San Carlos City, Pangasinan (075) 532 5704 (0922) 808 2972

MATH-Inic San Pablo City MSC Institute of Technology, Inc., Sitio IX, Brgy. San Gabriel, San Pablo City, Laguna (049) 562 6006 (049) 562 4598 (0917) 853 5069 (0922) 854 3244 (0939) 939 9702

MATH-Inic is a series of special Math courses that transforms children: from Math haters to Math lovers, and Math lovers to Math masters. It introduces fun, fast and easy ways of computing Math problems and enriches traditional Math classroom lessons through new solving techniques. MATH-Inic also enhances brainpower through Mental Math exercises. ENROLL NOW!