AMO 2027 Grades 2-3 SET 5 - Self-study

Alvin, Marcus and Paul are schoolmates. Every Monday, they go to the same learning center from school at different times. Alvin leaves the school at 1 pm and reaches at 1 : 45pm. Marcus leaves the school at 2 : 05pm and reaches at 2 : 30pm. Paul leaves the school at 2 : 55pm and reaches at 3 : 25pm. Who takes the shortest time to reach the learning center among the three of them?

Fill in the following table.

A book uses 216 digits for printing its page numbers. How many pages has the book?

In the following, all the different letters stand for different digits.



Find the value $A+B+B+A$.

The frog, puppy and duckling participated in a swimming competition. The frog was not the first. The duckling saw the puppy and frog in front of it. Who won the competition?

Evaluate
2 + 4 + 6 + 8 + 10 + 20 + 40 + 60 + 80 + 100.

Each shape represents a unique digit. Each 3-digit on the left represents a unique group of shapes on the right.



Which of the following represents $\blacksquare\;\bigcirc\;\bullet$?

The perimeter of a rectangle is 60 cm. Its length is greater than its width by 4 cm. Find the length of this rectangle.

Pi saved 2 dollars in the first month, 4 dollars in the second month, 6 dollars in the third, and so on. The amount of money he saved in the last month was 24 dollars. How much money did Pi save in total?

There are 11 trees along the road in front of Ksi’s house. The trees are 10m away from each other. How far is the eleventh tree from the first one?

Danzel’s age is 2/9 of his mother’s age. Three years ago, his mother was 42 years old. In how many years’ time will Danzel’s age be 2/7 of his mother’s age?

The histogram below shows the number of texts students sent each day.



a) How many students sent between 2 and 4 texts?

b) How many students are represented in this histogram?

The figure below shows a square ABCD, which is divided into 4 identical rectangles. The perimeter of each rectangle is 50cm. Find the area (in cm²) of the square ABCD.

Given that

$\bigcirc+\bigcirc+\bigcirc=90$.

$\bigcirc\div\square=5$.

Find the value of $\bigcirc+\bigcirc+\square+\square+\square$.

Which of the following CANNOT form a rectangle?