ASMO Math 2022 — Grade 5 — School Round

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?

Find the value of the following: $(20\times 24\times 28\times 32)\div (10\times 12\times 14\times 16)$.

A rectangular box is 6 cm deep, 4 cm wide, and 2 cm high. Vahn packs the box with cubes, each 2 cm by 2 cm by 2 cm, with no space left over. Find the number of cubes does he fit into the box.

The tower shown below is made by placing congruent cubes on top of each other with no gaps. Not all cubes are visible. Determine the number of cubes does the tower contain.

If 16 is added to one-third of a number, the result is three times the number. Find the number.

ABCD is a rectangle whose area is 12 square units. Determine the square units that are contained in the area of trapezoid ABFE.

The number 6 has exactly four different factors: 1, 2, 3, and 6. Determine the number of different factors does the number 36 have.

Sherry has five times as many books as Jay. Nairan has three times as many books as Jay. Sherry has 16 books more than Nairan has. Find the number of books does Jay have.

At a special sale, all hats sell at one price and all skirts sell at another price. Liz pays \$30 for 2 hats and 3 skirts. Mia pays \$23 for 5 hats and 1 skirt. Find the price of each skirt sold in dollars.

In a class of 26 students, 16 like chocolate ice cream and 15 like vanilla ice cream. However, 3 do not like either flavor. Find the number of students who like both chocolate and vanilla ice cream.

Winson is 1 month older than Rita. Vincy is 3 months older than Rita. Henry is 4 months older than Vincy. How much older than Winson is Henry, in months?