WASHINGTON STATE MATHEMATICS COUNCIL
1999 MIDDLE SCHOOL MATH OLYMPIAD |
ANSWERS |
Subtract two points (or half credit) for missing or wrong units.
GRADE 7 ANSWERS |
7 |
GRADE 8 ANSWERS |
8 |
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Number Sense 1. neither [ The two amounts are equal. ] 2. 121, 169, 289, 361 (4 points) 3. $14.50 4. $84.80 5. 4 [ times greater ] |
Number Sense 1. $14.50 2. $84.80 3. 1/4 (or .25) 4. 7 5. (a) |
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Measurement 1. 27.5 or 27 1/2 2. 24 3. 18 hours 4. 25 hours and 27 minutes or 25 hours and 26 minutes (Answer depends on use of button or use of 3.14 for .) 5. 3 3/4 cups (or 3.75 cups) |
Measurement 1. 25 hours and 27 minutes or 25 hours and 26 minutes (Answer depends on use of button or use of 3.14 for .) 2. 2 + 4 unit lengths (or length units) [ 4 points ] or 2 + 2 + [ 2 points: ]3. 63 hours 4. 3 half dollars, 4 quarters, 5 dimes, and 12 nickels 5. 3 cups |
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Probability & Statistics 1. 1/15 or 1:15 or 1 out of 15 [Give 2 pts. for .07 or 6.7% or , etc. ]2. 491,400 3. 15 4. 200 5. 1, 4, 6, 9 |
Probability & Statistics 1. 400 2. 20,475 or 491,400 / 24 [Give 2 pts. for 491,400.] 3. 5/8 or .625 or 62.5% 4. 3/25 or 6/50 [Give 2 pts. for .12 or 12%] 5. 1, 4, 6, 9 |
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Algebraic Sense 1. 15 or 15 years 2. 13 3. 33 4. 98 5. 131 |
Algebraic Sense 1. 33 2. 98 3. 20 4. 461 5. 4n-12 or 4(n-3) [ Give 2 points for a correct word rule, such as, "Subtract 3 from the number & multiply this by 4." ] |
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Geometric Sense 1. 135 sq cm or 135 cm 22. 27 3. 4. The perimeter of triangle A is 1/3 the perimeter of triangle B (or B is 3 times A). 5. 79% (or simply 79) [Give 2 pts. for 78.5% and 1 pt. for .785] |
Geometric Sense 1. 135 sq cm or 135 cm 22. 48 3. The perimeter of triangle B is 3/5 the perimeter of triangle C (or C is 5/3 B; also accept C is 1 2/3 B). 4. 5. 14.8% or 14.9 % (or simply 14.8 or 14.9) |