Math Olympiad Strategies

Math Olympiad Vocabulary

Understand the Problem1Language of the DisciplineIm 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?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)The Answer is 9,753.What is the value of the following expression?5511+44-22+33-33+22-44+11-55

Do you know what the red words mean?Language of the Discipline

What strategy is required?Value-simplest name for that numberExpression-math problem written without = symbol

Rearrange the numbers to simplify the arithmetic

5511+44-22+33-33+22-44+11-55(55-55)+(44-44)+(33-33)+(22-22)+(11-11)=0Answer 0Language of the DisciplineHow many 2-digit prime numbers have 4 as one of their digits?

Do you know what the red words mean?

What strategy is required?Prime-number with exactly 2 factors2, 3, 5, 7, 11.

Consider the ones and tens digits separately4 in the unit place is not prime! 4 must be in tens place!41, 43, 47

Answer 3Language of the disciplineThe four digit number 498A is divisible by 11. What digit does A represent?

Do you know what the red words mean?

What strategy is required?Divisible-can be divided without a remainder12 is divisible by 2, 3, 4, and 6

Divide!

Answer 3Language of the disciplineTony 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 required?Perimeter-distance around somethingcm-abbreviated centimeter

Minimize the perimeter after each fold8 by 12 after one fold is 8 by 6, after 2nd fold is 4 by 6, after 3rd fold is 4 by 3Answer 14

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 Im 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?