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**HIGHLINE SCHOOL
DISTRICT School: __________________**

**FIRST YEAR MATH OLYMPIAD March
21, 1998**

** Grade: _________**

**Algebraic Sense (Functions & Relationships)**

** Team
Number: _________**

1. What is the
next number in this sequence?

0 3 8 15 24 35

2. Find x if

X^{2}- 1 ------- = 21 3

___________

3. Predict the value of X in this table

In |
0 |
2 |
8 |
10 |
18 |

Out |
5 |
11 |
29 |
X |
59 |

___________

4. A sofa is on sale for $100 at the
furniture store. Its price has been
reduced twice. The first time, the
price was reduced by 50%. The second
time, the price was reduced by another $50.
How much did the sofa cost originally?

___________

5. The weights of 3 cats add up to 36
pounds. The heaviest cat is twice as
heavy as the lightest cat. The middle
cat weighs 4 pounds less than the heaviest cat. How much does the lightest cat weigh?

___________