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

Number Sense

1. neither [ The two amounts are equal. ]

2. 121, 169, 289, 361 (4 points)
(112, 132, 172, 192) (2 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)

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

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

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." ]

Geometric Sense

1. 135 sq cm or 135 cm2

2. 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 cm2

2. 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)