# GRADE 2-HEAT ROUND FMO 2021

Fermat Mathematical Olympiad FMO is an annual competition developed and held by Fermat Education – an authorized Vietnamese organization board of many international Olympiad competitions. FMO is a mathematical playground for students from Kindergarten to high schoolers. Unlike other Mathematical Olympiad competitions, which have many difficult problems requiring complicated calculations or various formulae to be solved, FMO 2022 focuses on how students read, understand, and analyze the problems. As a friendly, accessible, and suitable competition for the majority of students, the examination questions of FMO 2022 will be arranged in increasing difficulty and composed relatively close to the curriculum framework. The tedious knowledge in textbooks is now vividly illustrated, thought-provoking, and in specific real-life settings. Students participating in FMO 2022 will be provided an opportunity to review the prior knowledge in a new approach, cultivate their passion for Mathematics and challenge themselves with real-world problems. Any student can participate in FMO 2022. as long as they have an interest in Mathematics and adequate basic mathematical knowledge. Ultimately, the purpose of this competition is to help every student answer the age-old question: “Why study Mathematics?”.
In 2022, Fermat Mathematical Olympiad FMO takes place for the third time. In the previous seasons, the competition was a great success by having attracted the attention of many students from all over the world such as Thailand, Philippines, Bulgaria, Indonesia, Turkey, India, …. Following that success, with some alterations in the examination structure and the appearance of real-life problems, together with many valuable cash prizes, FMO 2022 promises to be an educational, interesting but also challenging mathematical playground for students. This is also a great opportunity for the participants to compete on a global scale and have memorable experiences. (sc: Facebook Fermat Mathematical Olympiad)

A.Warm-up
(4 points per question / No points deducted for wrong answers)

1. Anna paints all cells with the numbers: 2, 3, 4, 9, 12, 13, 14, 19, 22, 23, 24.
Which number appears?

A) 3
B) 6
C) 9
D) 8
E) 7

Answer : A

2. How many circles do we need to draw this Apple’s logo?

A) 8
B) 9
C) 10
D) 11
E) 12

Answer : D

3. What is the number in the circle?
A) 5
B) 4
C) 3
D) 2
E) 1

Answer : E

4. Timmy asks his sister to bring him the second from the bottom of the pile of
notebooks on his desk. Which notebook should his sister select?

A)

B)

C)

D)

E)

Answer : B

5. Five friends go to a supermarket together. Each of them gets a shopping cart. David finds a bag of snack and gives it to Ellie. Alex picks a carton of milk. Billy selects a teddy bear and Candice takes a doll. Which one is David’s cart?
A)

B)

C)

D)

E)

Answer : A

B. Speed-up
(6 points per question / No points deducted for wrong answers)

6. Tom attends a math Olympiad training class that lasts for an hour and a half. He finishes the class at 10 o’clock. What time does Tom begin the class?
A)

B)

C)

D)

E)

Answer : B

7. At an amusement park, children collect tickets to exchange gifts. The rules for exchanging gifts are as follows:

If Anna gets 12 blue tickets, how many bears will she get?

A) 1
B) 2
C) 3
D) 4
E) 5

Answer : B

8. Mr. Johnathan is teaching the class how to turn right, left or turn around. Given that the figure beside shows the original postures of two students:

Mr. Johnathan tells them to turn left three times and then turn around. What will they look like after all the movements?

A)

B)

C)

D)

E)

Answer : D

9. There are three house number plates lying as below.

Given that each house number contains three digits, and the sum of three house numbers is 899. What are the two hidden digits?

A) 1 and 2
B) 7 and 6
C) 3 and 4
D) 6 and 5
E) 5 and 9

Answer : D

10. Five athletes participated in a 100m race. The time each athlete took to finish
the race is shown in the following graph. Who won the second place?

A) Robert
B) Harry
C) Thomas
D) Noah
E) William

Answer : C

C. Challenge
(8 points per question / No points deducted for wrong answers)

11. Jason built a bed with two types of lego pieces as below.

What is the total number of lego pieces that Jason has used to build that bed?

A) 21
B) 22
C) 23
D) 24
E) 28

Answer : B

12. Four students cut a sticker of the shape as below into two separate pieces and color them. Which two pieces CANNOT be theirs?

A)

B)

C)

D)

E)

Answer : C

13. When weighing four bags of rice A, B, C and D, the result is as shown below. List them in order from heaviest to lightest.

A) A, C, B, D
B) C, A, D, B
C) B, A, C, D
D) B, A, D, C
E) D, C, A, B

Answer : C

14. The table below shows the cash prizes of some contests held by Fermat
Education:
Trish took part in some of them and had three following awards:
How much money did she get in total?

A) 1000 USD
B) 1100 USD
C) 1150 USD
D) 1200 USD
E) 1300 USD

Answer : B

FERMAT Mathematical Olympiad Summer 2021
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