ASMO Math 2022 — Grade 4 — School Round

Xiaohu’s phone number is seven digits, the first three digits are the same, and the sum is 18. Among the remaining four digits, the next digit is twice as large as the previous digit. What is the sum of the seven digits?

Kai Wei likes to count the sum of hours and minutes on an electronic clock. If the electronic clock now shows 13:25, then Kai Wei will get 38. This is a 24-hour electronic clock, so what is the maximum number of numbers on the clock?

The height of a high wall is 63 meters. An ant is trying to climb up. The ant climbs 10 meters and slides down 3 meters every day. How many days does it take for the ants to climb to the top of the wall?

What is the difference between the largest P and the smallest P? P says: “I am not an even number. I am a multiple of 5. I am smaller than 100.”

Count, how many line segment in the figure.

Look at the fruit equations in the figure. What is the value of the last expression?

There are 15 flags hanging on the runway of the school field. Xiao Ming ran from the first flag to the 15th and ran a total of 210 meters. What is the distance between the two flags?

The shop bought 5 new boxes of biscuits and sold 10 biscuits every day for 4 consecutive days. After rearranging it, aunty found that the remaining biscuits filled exactly 3 boxes, so how many biscuits are in a box?

How many odd numbers are there from 6 to 39?

Count how many triangles there are in the figure.

The side length of each small square is 2 cm, what is the perimeter of the following picture?

Hui En and Zi Qi are playing a numbers game. Hui En had a number in mind, and she asked Zi Qi: "Multiply this number by 7 or 8, add 7 or 8, and subtract 7 or 8, the answer is 106. Do you know what is the number in my mind?"

5 friends went to the restaurant for dinner. If Ali sits in position A, how many ways can the remaining 4 friends select their seats?

Calculate the area of the figure below.

Mother bought a round box (as shown below) and put beads of 6 different colors in each grid (red, orange, yellow, green, blue, purple). Blue and purple are separated by two grids; red is adjacent to orange and blue; green is not placed on both sides of blue; yellow is in the 5th grid, and green is in the 6th grid. Which grid will the red be in?

The pedometer shows 17869, all the numbers are different. How many steps more for the same thing to happen?

Zhikang's test scores were released. The average score for Chinese and Mathematics is 98, the average score for Mathematics and English is 88, and the average score for Chinese and English is 94. So, what is Zhikang's English score?

There are 12 locks exactly with one key for each lock. All keys are mixed with each other. What is the maximum number of attempts required to find the correct key?

What time is 2202 minutes after 22:02? (Please write your answer in 24 hours format)

Grandpa wants to plant flowers by the circular pool with a circumference of 290 meters. If grandpa wants to plant a total of 58 flowers, how many meters are there between the two flowers?