WASHINGTON STATE MATHEMATICS COUNCIL 2000 MIDDLE SCHOOL MATH OLYMPIAD Session II: FIFTH GRADE ALGEBRAIC SENSE

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1. When a one-digit number is multiplied by 6, it increases by 20. What is the one-digit number?

2. There are bicycles and tricycles in the yard. There are a total of 30 seats and 70 wheels. How many tricycles are there?

3. In the following problem, different letters stand for different one-digit numbers. What digit does W stand for if the letter O stands for 7?

       TWO
     + TWO
      -----
      FOUR	

4. Each number in this sequence is the sum of the previous number and a constant number. What is the sum of the missing 3 numbers?

18 ___ ___ ___ 54

5. What is N if: 8% of (N-2) equals 12 ?