This is the 2017 MTAP Grade 7 Math Challenge questions 1 to 25.Questions 26-30 including the pdf will be posted very soon.

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.) 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:

12.) Expand:

13.) Simplify:

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?

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