LET Review for Math Majors: Diagnostic Test
19 Questions
6 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

Who is considered the founder of trigonometry, but is most famous for his incidental discovery of the precession of the equinoxes?

  • Euclid
  • Pythagoras
  • Hipparchus (correct)
  • Thales

What do you call symbols that represent numbers?

  • cardinals
  • numerals (correct)
  • scribbles
  • ordinals

What were the earliest form of numbers found on prehistoric bones?

tally marks

Which language refers to 'Mathematics' as 'Sipnayan'?

<p>Sipnayan (B)</p> Signup and view all the answers

What is 'setenta y nueve' in numerical form?

<p>79 (C)</p> Signup and view all the answers

What is the sum of 3 consecutive integers?

<p>183 (D)</p> Signup and view all the answers

In the ratio 4:3:1, how many hours does each student spend for Chemistry in a 24-hour review package?

<p>9</p> Signup and view all the answers

If m < 0 and n > 0, which of the following inequalities is true? m/n < 1

<p>m/n &lt; 1 (B)</p> Signup and view all the answers

If 2x + 4y - 5z = 19 and z = 3, what is the value of x + 2y + z?

<p>20</p> Signup and view all the answers

The product of 2 two-digit numbers is 351. What is their sum?

<p>40</p> Signup and view all the answers

In a party with 9 people where each person shakes hands with each other exactly once, how many handshakes are there in total?

<p>36 (A)</p> Signup and view all the answers

If 25% of a number is 50, what is 75% of the number?

<p>150</p> Signup and view all the answers

A certain amount of money was invested at 4% simple interest and gained Php500 in 2 years. How much was invested?

<p>6250</p> Signup and view all the answers

After investing Php20,000 at 3% simple interest for x years, it became Php24,200. What is x?

<p>7</p> Signup and view all the answers

If a divider costs Php50,000 with a downpayment of Php15,000 and the rest at 5% interest for 18 months, what will be the monthly payment?

<p>2090.28</p> Signup and view all the answers

After investing a certain amount of money at 8% simple interest rate for 5 years, it became Php35,000. How much was invested?

<p>25000</p> Signup and view all the answers

If Php100,000 is invested at 3% interest compounded annually for 5 years, how much will it be?

<p>113927.29</p> Signup and view all the answers

If Php18,000 is invested at 2% compounded quarterly for 15 years, how much will it be?

<p>24279.30</p> Signup and view all the answers

A product was given successive discounts of 30% and 40%. By what percent was the original price decreased?

<p>58</p> Signup and view all the answers

Flashcards

Founder of Trigonometry

Hipparchus was a Greek astronomer and mathematician credited with laying the groundwork for trigonometry.

Numerals

Symbols that represent numbers.

Tally Marks

Earliest form of numbers, using marks to represent quantities.

Sipnayan Mathematics

'Sipnayan' is the Sipnayan language word for Mathematics.

Signup and view all the flashcards

Seventy-Nine

The numerical representation of the phrase 'setenta y nueve'.

Signup and view all the flashcards

Sum of 3 consecutive integers

The sum of three consecutive integers is 183.

Signup and view all the flashcards

Chemistry hours (4:3:1 ratio)

In a 24-hour review package, each student spends 9 hours for Chemistry according to the ratio 4:3:1.

Signup and view all the flashcards

Inequality (m/n < 1)

If m < 0 and n > 0, then m/n is less than 1.

Signup and view all the flashcards

Value of x+2y+z

If 2x + 4y - 5z = 19 and z = 3, then x + 2y + z = 20.

Signup and view all the flashcards

Product and Sum of Two Digits

If the product of two two-digit numbers is 351, their sum is 40.

Signup and view all the flashcards

Handshakes in a party

If 9 people shake hands with each other once, there are 36 total handshakes.

Signup and view all the flashcards

75% of a number

If 25% of a number is 50, then 75% of the number is 150.

Signup and view all the flashcards

Simple Interest Amount

Php500 simple interest in 2 years at 4% means Php6250 was invested.

Signup and view all the flashcards

Simple Interest Years

Php20,000 invested at 3% simple interest for 7 years yields Php24,200.

Signup and view all the flashcards

Monthly Divider Payment

A Php50,000 divider with Php15,000 downpayment, 5% interest over 18 months equals to Php2,090.28 monthly payment.

Signup and view all the flashcards

Investment principal

Php35,000 in 5 years at 8% simple interest means the initial principal was Php25,000.

Signup and view all the flashcards

Compound Interest Amount (100000)

Php100,000 at 3% compounded annually for 5 years will be Php113,927.29.

Signup and view all the flashcards

Compound Interest amount (18000)

Php18,000 invested at 2% compounded quarterly for 15 years, amounts to Php24,279.30.

Signup and view all the flashcards

Successive Discount Percentage

Successive discounts of 30% and 40% result in a 58% decrease from the original price.

Signup and view all the flashcards

Study Notes

Math Review

Diagnostic Test

  • The test consists of 40 items, covering various math topics.

Mathematicians and Contributions

  • Hipparchus: founder of trigonometry, discovered precession of the equinoxes.
  • Pythagoras: famous for the Pythagorean Theorem.
  • Euclid: associated with "The Elements".
  • Archimedes: contributed to the principle of buoyancy related to fluids.

Numbers and Operations

  • Tally marks on prehistoric bones and artifacts are the earliest form of numbers.
  • Numerals are symbols that represent numbers.
  • If x is an integer, x² and x³ are always odd, while x(x+1) is always even.

Problem Solving

  • To prove p→q, a mathematician may assume ¬q and arrive at ¬p, which is called proof by contrapositive.
  • Mathematical investigation involves exploring an open-ended situation, developing skills applicable to other problems.

Algebra

  • Factorization: ab - 1 - b + a = (a-1)(b+1).
  • Prime factorization: 2520 = 2³ × 3² × 5 × 7.

Geometry

  • The sum of 3 consecutive integers is divisible by 3.

Statistics and Data Analysis

  • If 2x + 4y - 5z = 19 and z = 3, then x + 2y + z = 20.

Finance

  • Simple interest: I = Prt, where I is the interest, P is the principal, r is the rate, and t is the time.
  • Compound interest: F = P(1 + rt)^n, where F is the future value, P is the principal, r is the rate, t is the time, and n is the number of times interest is compounded per time period.

Word Problems

  • If 25% of a number is 50, then 75% of the number is 150.
  • If a product is given successive discounts of 30% and 40%, the overall decrease in original price is 58%.

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Quiz Team

Description

A diagnostic test for math majors preparing for the Licensure Examination for Teachers (LET) review, covering various math concepts and topics.

More Like This

Trigonometria: Gràds/Radians sin/csc
18 questions
Trigonometry Vocabulary Flashcards
45 questions
Pre-Calculus 12 Overview
40 questions

Pre-Calculus 12 Overview

TrustingRomanticism4088 avatar
TrustingRomanticism4088
Use Quizgecko on...
Browser
Browser