This is the 2004 Grade 8 Math Challenge Elimination Level Questions – Part 2. 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.

26.) If *n* is an integer, find the solution set of

27.) For what value of *n* will reduce to

28.) Solve for x:

29.) Find the positive root of

30.) Find an equation with an integral coefficients such that the roots are and

31.) Simplify:

32.) Multiply and simplify:

33.) Perform the indicated operations:

34.) Factor completely:

35.) If *a* – 2 is one factor of what is the other?

36.) If 28(32) is written as the difference of two squares, what is

37.) If *y* varies directly as *x* and *y* = 2 when *x* = 3, what is the equation of variation?

38.) If *z* varies jointly as and *y*, and *z *= 24 when *x* = 2 and* y *= 3, find* z* when* x* = 4 and *y* = 2.

39.) If *y* varies inversely as *x* and *y* = 12 when *x* = 6, and *x* if

40.) Simplify:

41.) Multiply and simplify:

42.) Rationalize the denominator:

43.) Solve for x:

44.) Divide by

45.) If the roots of are *r* and *s,* find an equation with integral coefficients whose roots are equal to 3*r* and 3*s*:

46.) The sum of the numerator and denominator of a certain fraction is 104. The value of the fraction reduces to Find the fraction.

47.) Twenty-four men are engaged to do a piece of work in 38 days. After 10 days, 8 men stop working. In how many days can the rest finish the work?

48.) For what values of k will the roots of be real?

49.) If and for what value(s) of *c* will the system be dependent?

50.) If *z* varies directly as the square of *x* and inversely as *y*, what is the effect on *z* of doubling *x* and tripling *y*?

View Part 1 here: 2004 Grade 8 Math Challenge Elimination Level Questions – Part 1