This is the 2017 MTAP Grade 7 Math Challenge questions 1 to 25.Questions 26-30 including the pdf will be posted very soon.
1.) What is the sum of the reciprocals of all the positive divisors of 8?
2.) Factor completely: .
3.) Expand and simplify: .
4.) If ,what is the value of ?
5.) Factor completely:
6.) What is the area of a square whose perimeter is ?
7.) Factor completely: .
8.) What is the product of three consecutive odd integers if the middle integer is ?
9.) Factor completely: .
10.) Write the fraction in lowest terms and without negative exponents:
11.) Simplify using scientific notation:
14.) The length, width and height of a box are in the ratio of 5 : 4 : 7. If the perimeter of the base is 54 cm, find the volume of the box.
15.) Solve for .
16.) The difference between the squares of two consecutive positive multiples of 5 is 1225. What is the sum of the two multiples of 5?
17.) The ratio of an angle to its complement is 5 : 13. Find the measure of its complement.
18.) Solve for .
19.) If , for which values of is equal to ?
20.) The midpoint of the segment joining the points and is . What are the coordinates of ?
21.) Factor completely: .
22.) How many digits does have when expanded?
23.) Give an equation in slope-intercept form of the line passing through the origin and perpendicular to .
24.) Perform the indicated operation and simplify:
25.) If you want to determine the favorite subject of your class, which measure of central tendency should you use?