This is the 2004 Grade 8 Math Challenge Elimination Level Questions – Part 1. Solutions will be posted later. Questions in the previous years can be accessed on the **Past Tests** page and all questions can be found in the** All Posts** page.

1.) If *x* > 5, which is the largest?

a.)

b.)

c.)

2.) Simplify:

3.) Perform the indicated operations:

4.) Expand:

5.) The coordinate of *A* is -7 and that of *B* is 21. If *M* is the midpoint of *AB*, how long is *AM*?

6.) *A*, *B* and *C* are collinear with *B* between *A* and *C*. If the coordinate of *B* is -2, that of *C* is 6 and *AB *= 2*BC*, what is the coordinate of *A*?

7.) Factor completely:

8.) Simplify:

9.) Find two numbers with a product of 60 and a sum of 19.

10.) Expand:

11.) Find the value of

12.) Find the value of

13.) Write in simplest form.

14.) A square has a perimeter 12x + 28 cm. Find its area.

15.) Express the product of two consecutive odd integers as a polynomial.

16.) If the coordinates of the midpoint of the segment joining *A*(-3, 1) and *B*(x, y) are *M*(2, 4), find *B*(*x, y)*.

17.) Find the least common multiple of: and .

18.) Find the solution *(x, y)* in and

19.) What is the remainder when is divided by *x* – 2?

20.) For what real values of *x* is

21.) If solve for *a* in terms of *s*, *v* and *t*.

22.) Solve for x:

23.) Solve for *x* and *y*:

24.) What kind of system is and

25.) Three times a number decreased by 15 is at least 23 and at most 56. What is the biggest integral value that the number can have?

View Part 2 here: 2004 Grade 8 Math Challenge Elimination Level Questions – Part 2