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Math Olympiad Vocabulary

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

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Math Olympiad Vocabulary

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  1. Math Olympiad Vocabulary Understand the Problem…

  2. 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?

  3. 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)

  4. The Answer is 9,753.

  5. 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?

  6. 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

  7. Answer 0

  8. 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?

  9. 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

  10. Answer 3

  11. 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?

  12. What strategy is required? • Divisible-can be divided without a remainder • 12 is divisible by 2, 3, 4, and 6 • Divide!

  13. Answer 3

  14. 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?

  15. 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

  16. Answer 14

  17. 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?

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