Sample LET Test Items in Math: Ratio, Proportion, and Percentage

Photo Credit: Chiot's Run

Photo Credit: Chiot’s Run

“God used beautiful mathematics in creating the world.” —Paul Dirac

{Coach Alice’s Note: LETer (or LET taker), are afraid of Math? Do you feel like skipping test items when you see that they deal with Math problems? Are you ready to love Math?

It’s time for a mindset change if you are aiming to top or pass the LET.

Think about Math as a subject that you face everyday from the time you were conceived, your growing years, times at school, starting a family until you retire.

Here are some sample LET test items for Math, as shared by occasional MindGym LET Math coach Gail Beltran.}


  1. The ratio of blue to red marbles is 16 to 9. If there are 96 blue marbles in the box then how many of the following is in the box?
  2. A total of 450 is divided into equal shares. If Joshue receives 4 shares, Barbie receives 3 shares and Jake receives the remaining two shares, how much money did Jake receive?
  3. A 6 ft tall tent standing next to a cardboard box casts a 9 ft shadow. If the cardboard box casts a shadow that is 6 ft long then how tall is it?
  4. A model house is 12 cm wide. If it was built with a scale of 3 cm : 4 m then how wide is the real house?

Show Answers


  1. blue marbles = 54, red marbles = 96, total marbles = 150
  2. Jake receives 100
  3. The box is 4 feet tall
  4. The house is 16 meters


  1. A package of pens contain 1 red, 2 blue and 3 black. If there are 60 pens all in all, how many black pens are there?
  2. Ana, Jake and Grace divided the cost of a sack of apples with the ratio of 2:5:7 respectively. If there were 84 apples costing 5 pesos each, how much did Jake pay?

Show Answers


  1. There are 30 black pens
  2. Jake paid 150 for 30 apples


  1. A test has 20 questions. If peter gets 80% correct, how many questions did peter missed?
  2. In a school, 25 % of the teachers teach basic math. If there are 50 basic math teachers, how many teachers are there in the school?
  3. 24 students in a class took an algebra test. If 18 students passed the test, what percent do not pass?

Show Answers


  1. He missed 4 questions
  2. There are 200 teachers in school
  3. 25% did not pass the test

Challenge yourself with more LET sample test items!

Marian Gail Julian Beltran is one of MindGym’s topnotch bets during the September 2012 LET. During her days as a reviewee, Gail initiated a peer review session for GenEd Math for everyone and for Math majors in her batch. What she planned for a dozen batchmates turned out to be a big Math remedial of over fifty students!

About Marian Gail Beltran

Gail graduated from the University of Santo Tomas College of Education. She currently teaches Math for Grade 7 girls of St. Pedro Poveda College. She's not your typical Math nerd who is content with numbers—she also taps her artistic sensibilities by creating stuffed toys and sewing costumes for local cosplays. Relative to Filipinos, she towers over ladies (and some men) with a height of 5 ft 8 in.


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