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Math Olympiad Vocabulary. Understand the Problem …. Language of the Discipline.

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math olympiad vocabulary

Math Olympiad Vocabulary

Understand the Problem…

language of the discipline
Language of the Discipline
  • I’m thinking of a 4 digit number with the digits in decreasing order from left to right. One digit is a square number and the others are prime. The sum of the ones and tens digit is 8. What is my number?
  • Do you know what the red words mean?
what strategy is required
What strategy is required?
  • Digit-any one of the ten numerals
    • (0, 1, 2, 3, 4, 5, 6, 7, 8, 9)
  • Decreasing-Descending order
    • (5, 4, 3, 2, 1)
  • Squared number-that number multiplied by itself
    • (42=4X4=16)
  • Prime-exactly 2 factors
    • (2=1, 2; 5=1, 5; 11=11, 1)
  • Sum-answer to an addition problem
    • (sum of 4+1=5)
language of the discipline1
Language of the Discipline
  • What is the value of the following expression?
    • 55–11+44-22+33-33+22-44+11-55
    • Do you know what the red words mean?
what strategy is required1
What strategy is required?
  • Value-simplest name for that number
  • Expression-math problem written without = symbol
  • Rearrange the numbers to simplify the arithmetic
  • 55–11+44-22+33-33+22-44+11-55
  • (55-55)+(44-44)+(33-33)+(22-22)+(11-11)=0
language of the discipline2
Language of the Discipline
  • How many 2-digit prime numbers have 4 as one of their digits?
  • Do you know what the red words mean?
what strategy is required2
What strategy is required?
  • Prime-number with exactly 2 factors
    • 2, 3, 5, 7, 11….
  • Consider the ones and tens digits separately
    • 4 in the unit place is not prime! 4 must be in tens place!
    • 41, 43, 47
language of the discipline3
Language of the discipline
  • The four digit number 498A is divisible by 11. What digit does A represent?
  • Do you know what the red words mean?
what strategy is required3
What strategy is required?
  • Divisible-can be divided without a remainder
    • 12 is divisible by 2, 3, 4, and 6
    • Divide!
language of the discipline4
Language of the discipline
  • Tony has an 8 cm by 12cm paper rectangle. He folds it in half 3 times, each time making a smaller rectangle. What if the least possible perimeter of the rectangle after the third fold, in cm?
  • Do you know what the red words mean?
what strategy is required4
What strategy is required?
  • Perimeter-distance around something
  • cm-abbreviated centimeter
  • Minimize the perimeter after each fold
    • 8 by 12 after one fold is 8 by 6, after 2nd fold is 4 by 6, after 3rd fold is 4 by 3
slide17

Math Olympiad Homework for Week 2: Language of the Discipline (vocabulary) NAME:________________________Remember to show your work on paper. Notes are on the www.alpharesources.weebly.com

  • I’m thinking of a 3 digit number. None of the digits are the same, but all digits are prime and in increasing order from left to right. How many different answers could I have? (Do you know what a prime number is?)
  • What is the value of 17 – 15 + 28 – 19 +19 – 28 + 15 – 17 ?
  • How many 2-digit prime numbers have 7 as one of their digits?
  • The four digit number 111A is divisible by 9. What digit does A represent?

5. Tanya has a 48 cm by 32 cm paper rectangle. She folds it in half 3 times, each time making a smaller rectangle. What is the least possible perimeter of the rectangle after the third fold, in centimeters?