This is the 2014 MTAP Grade 8 Math Challenge questions 1 to 25 with answer key. More reviewers can be found on the Past Tests and All Posts pages.
1.) Simplify: 1 – 2 +3 – 4 + … + 49 – 50 + 49 – 48 + 47 – 46 + … + 1
2.) Simplify:
3.) In the proportion 
4.) Between what two consecutive integers does ![\sqrt [3]{-100}](http://s0.wp.com/latex.php?latex=%5Csqrt+%5B3%5D%7B-100%7D&bg=ffffff&fg=000&s=0 "\sqrt [3]{-100}")
5.) What is the area of a rectangle whose sides are twice as long as the sides of a smaller rectangle whose area is
6.) What is the medium of the following numbers:
7.) Let U = {1, 2, 3, …, 12} be the universal set, and A = {10, 11, 12}, B = {1, 3, 5, 7, 9, 11}, and C = {4, 5, … ,11}. What is
8.) With the same sets given in Item 7, what is
9.) With the same sets given in Item 7, how many elements does 
10.) With the same sets given in Item 7, how many elements does 
11.) If 
12.) Simplify:
13.) Perform the indicated operations:
14.) Simplify:
15.) Twelve less than three times a number is 3x, what is the number?
16.) Simplify:
17.) The legs of a right triangle are (3x – 2) cm and 2x cm long. If x = 3, how long is its hypotenuse?
18.) The product of two numbers is 
19.) Christ walked x km at a constant rate of y m/hr. How many minutes did he walk?
20.) If the length of a rectangle is 
21.) Solve for x in the equation
22.) What is the largest integral value of x If “=” in Item 21 is replaced by “<”?
23.) Solve for x in the equation |3 – 2x| = 3.
24.) Solve for x in the inequality |3 – 2x| > 2.
25.) In 2005, Cora was three times as old as her son Jayson. Four years back then, she was four times as old as Jayson. In what year was Jayson born?
Answer key:
1.) 0
2.)
3.) 6
4.) -5 and -4
5.)
6.) 0
7.) {11}
8.) {2, 4, 6, 8}
9.) 2
10.) 144
11.) 6
12.)
13.)
14.) -x – 4
15.) x + 4
16.) 4027
17.)
18.)
19.)
20.) (x + 6)cm
21.) 3
22.) 2
23.) 0 and 3
24.) 
25.) 1993
View Part 2 here: 2014 Grade 8 Math Challenge Elimination Questions with answers – Part 2
