Below are the 2014 Grade 7 Math Challenge – Elimination Round questions and answers – Part II. More reviewers can be found on the **Past Tests** and **All Posts** pages.

26.) Subtract from the product of and .

27.) A cylindrical container which with radius 10 cm is filled with water to a height of 2 cm. The water is poured into a second cylindrical container with 4 cm radius. How high will the water be in the second container?

28.) Luis can arrange 6 or 9 stickers to a page without any stickers left over. If he arrange his stickers 10 to a page, there are 2 stickers left over. What is the smallest number of stickers Luis can have?

29.) *ABCDEFGH* is a regular octagon. What is the measure of

30.) Given a rectangle *ABCD*, let *E* be the midpoint of side *AB* and *F* be the midpoint of side *BC*. What part of the rectangle *ABCD* is triangle *DEF*?

31.) At a party, married people came with their husbands or wives. If half of the women and of the men in the party were single, what percentage of the people in the room were married?

32.) If the length of a rectangle is , its width is , and its area is , what is *x*?

33.) How many four-digit numbers are multiples of 12?

34.) Simplify:

35.) If *n* and *m* are positive integers, what is the value of ?

36.) Simplify:

.

37.) A rectangle with dimension *x* by *x* + 10 has the same area as the square with side *x* + 3. What is *x*?

38.) If today is Saturday, what day is days from now?

39.) Which is larger or

40.) Which values of *x* satisfy ?

41.) What is the value of:

?

42.) The vase of a pyramid is a square and its other faces are equilateral triangles. Draw all possible nets for the pyramid.

43.) A car leaves *A* at 8 AM and travels to *B* at a rate of 60 kph. A bus leaves *B* at 8:30 AM and travels to *A* at a rate of 75 kph. If the car and the bus pass each other midway between *A* and *B*, at what time will the car pass the bus?

44.) Which integer values of x satisfy ?

45.) Find the solution set: .

46.) In a class of 30, ten students have computers at home and 15 have cellphones. What are the possible number of students who don’t have a computer nor cellphone?

47.) If *n* is a positive integer, which of the following is a perfect square: ?

48.) If *5n* leave a remainder of 8 when divided by 11, what is the remainder when *4n* is divided by 11?

49.) With what polynomial must be divided to get a quotient of and a remainder of ?

50.) Give the solution set to .

Answer key:

26.)

27.) 12.5 cm

28.) 72

29.)

30.)

31.) 62.5%

32.)

33.) 750

34.)

35.) 8

36.)

37.)

38.) Monday

39.)

40.) or 5

41.)

42.)

43.) 10:30 AM

44.)

45.) or

46.) from 5 to 15

47.) If *n* is even, then all of them are perfect squares. If *n* is odd, then all of them are not perfect squares.

48.) 2

49.)

50.)

View Part I here: 2014 Grade 7 Math Challenge – Elimination Round with answer key – Part I