GRADE 4-FINAL 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)

1. Given a long strip of paper with cells numbered from 1 as below. The castle can move 4 cells or 7 cells to the right each time. Which number CANNOT be stepped on by the castle?

A) 21
B) 19
C) 15
D) 22
E) 17

2. The caterpillar and the butterfly below are both natural numbers. Find the value of the caterpillar given that the butterfly is the largest 2-digit even number.

A) 130
B) 150
C) 140
D) 170
E) 160

3. The black ants are marching. Suddenly, two red ants join the line. Two red ants see that the number of black ants in front of them is 3 times the number of black ants behind them. Which answer can be the total number of ants of the new line?

A) 20
B) 21
C) 22
D) 23
E) 24

4. Peter draws and paints a pineapple on a paper grid with each cell of side length 2cm. Can you help Peter find the total painted area?

A) 64cm^2
B) 36cm^2
C) 80cm^2
D) 72cm^2
E) 144cm^2