MATH REASONING - CONTEST

A

100

A sheet of paper is folded in half twice, and then two holes are punched through the folded paper. When the paper is completely unfolded, how many holes will appear?

8 holes

200

What is the missing number?

2, 6, 12, 20, __, 42

30

300

Five students are standing in a line: Anna, Ben, Chloe, David, and Ethan.

• Anna is to the left of Ben.
• David is immediately to the right of Chloe.
• Ethan is at the far left.
• Ben is at the far right.

Who is in the middle?

Chloe is in the middle.

400

The sum of a father's and his son's ages is 56. Eight years ago, the father was four times as old as his son.

How old is the son now?

The son is 16 now.

500

Four neighbors—Alice, Brian, Chloe, and David—each own a different pet: a dog, a cat, a rabbit, and a parrot.

Clues

1. Alice does not own the rabbit.
2. Brian owns neither the dog nor the cat.
3. Chloe owns the cat.
4. Brian owns the parrot.

Question

Which pet does David own?

David owns the rabbit.

B

100

A sheet of paper is folded in half three times, and then a hole is punched through the folded paper. When the paper is completely unfolded, how many holes will appear?

8 holes

200

What is the missing number?

3, 7, 15, 31, __

63

300

Five students practice on different days: Monday, Tuesday, Wednesday, Thursday, and Friday.

• Julia practices before Kevin.
• Kevin practices immediately before Laura.
• Mike practices on Friday.
• Nina practices on Monday.

Who practices on Wednesday?

Kevin practices on Wednesday.

400

The sum of two sisters' ages is 46. Five years ago, the older sister was twice as old as the younger sister.

How old is the younger sister now?

The younger sister is 17 now.

500

Four students—Emma, Liam, Noah, and Sophia—each joined a different school club: Art, Chess, Drama, and Robotics. 

Clues

1. Emma did not join the Chess or Robotics Club.
2. Liam did not join the Drama Club.
3. Noah did not join the Art Club.
4. Sophia joined neither the Chess Club nor the Robotics Club.
5. Liam joined the Robotics Club.
6. Noah did not join the Drama Club.
7. The student who joined the Art Club is Sophia.

Question

Which club did Emma join?

Emma joined the drama club.

C

100

A sheet of paper is folded in half four times. Then three holes are punched through the folded paper. When the paper is completely unfolded, how many holes will appear?

48 holes

200

What is the missing number?

4, 10, 22, 46, 94, ____

190

300

Five people stand for a photo: Dad, Mom, Lily, Sam, and Grandma.

• Grandma stands at the far left.
• Dad stands immediately to the right of Mom.
• Lily stands at the far right.
• Mom stands somewhere to the left of Sam.

Who stands in the middle?

Dad stands in the middle.

400

The sum of a grandfather's and his grandson's ages is 84. Twelve years ago, the grandfather was five times as old as his grandson.

How old is the grandson now?

The grandson is 22 now.

500

Four friends (Alex, Ben, Chris, and Dave) have different professions (Teacher, Doctor, Engineer, and Lawyer).

• Clue 1: Alex hates the sight of blood and refuses to work with children.
• Clue 2: Ben lives next door to the engineer but is not the lawyer.
• Clue 3: Chris is the brother of the doctor.
• Clue 4: Ben is the teacher.
• Clue 5: Alex is not good at solving complicated math problems.
• Question: Who is the lawyer?

Alex is the lawyer.

D

100

A rectangular sheet of paper is folded in half once. Then five holes are punched through the folded paper. When the paper is completely unfolded, how many holes will appear?

10 holes

200

What is the missing number?

5, 13, 29, 61, 125, ____

253

300

Five cars are parked in a row: Red, Black, White, Silver, and Blue.

• Blue is at the far left.
• White is immediately to the left of Silver.
• Red is at the far right.
• Black is somewhere between Blue and White.

Which car is in the middle?

The white car

400

The sum of an aunt's and her niece's ages is 48. Six years ago, the aunt was three times as old as her niece.

How old is the niece now?

The niece is 15 now.

500

Four students—Ana, Leo, Mary, and Sonia—each prefer a different school subject: Math, Science, History, and Art.

Clues

1. Ana does not like Science or History.
2. Leo's favorite subject is not Art.
3. Mary likes neither Math nor Science.
4. Sonia does not like History.
5. Leo's favorite subject requires experiments.
6. Sonia enjoys solving equations.                    Which subject does Ana like?

Ana llikes art.

E

100

A  sheet of paper is folded in half three times, and then two holes are punched through the folded paper. When the paper is completely unfolded, how many holes will appear?

16 holes

200

What is the missing number?

6, 13, 27, 55, 111, ____

223

300

Five drinks are arranged on a table: Water, Juice, Milk, Tea, and Coffee.

• Coffee is at the far right.
• Milk is immediately to the left of Tea.
• Water is at the far left.
• Juice is between Water and Milk.

Which drink is in the middle?

Milk is in the middle.

400

If

x+y=15 

x-y= 5

find xy

50

500

Four families—the Brown, Green, Lopez, and Smith families—each visited a different country: Canada, Italy, Japan, and Peru. 

Clues

1. The Brown family did not visit Canada.
2. The Green family visited neither Peru nor Japan.
3. The Lopez family did not visit Italy.
4. The Smith family visited Japan.
5. The Brown family did not visit Peru.
6. The Green family visited Canada.

Question

Where did the Lopez family travel?

The Lopez family traveled to Peru.