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

Alice started her homework at 7:20 p.m. She finished it at 8:05 p.m. How long did she take to do her homework?

Assuming the pattern below continues, how many squares will be in Figure 5?

The sum of several whole numbers equals 14. What is the greatest product of these whole numbers?

Some people are standing equally spaced around a circle, and they are numbered starting from the number 1 in a clockwise direction. If the person numbered 2 is directly opposite the person numbered 8, how many people are there?

15 identical rectangles of perimeter 20cm each are arranged as shown below. Find the perimeter of the figure.

January 1st, 2007 was Monday. What day of the week lies on January 1st, 2008?

The sum of the present ages of a father and his son is 60 years. Six years ago, father’s age was five times the age of the son. What will be the age of the son after 6 years?

Read the clues to find the secret number.



- It is in both the rectangle and the circle.
- It is not in the triangle. It is greater than 5.

What number is it?

Water from a kettle can fill up 3 water bottles. Water from each water bottle can fill up 4 cups. How many cups of water is needed to fill up the kettle?

In a chess tournament, each player has to play one game with every other player. Six players, Albert, Ben, Charles, Dennis, Ethan and Francis, took part in the tournament. So far, Albert has played 5 games, Ben has played 4 games, Charles has played 3 games, Dennis has played 2 games and Ethan has played 1 game. How many games has Francis played?

In the following cryptarithm, all different letters stand for different digits. Find the product of A and B.



$$\begin{array}{r}AA\\+\ A\\\hline B08\end{array}$$

Find the area of the following shaded compound shape. The length of each small block equals 2 cm.

Paul counted correctly the number of times the digit “6” appears in the whole number list from 520 to 620. What answer did Paul get?

On Thursday the Meat King Market sold 220 pounds of ground beef. On Friday they sold twice that amount. On Saturday they only sold 130 pounds. How much more meat did they sell on Friday than Saturday?

If three dozen slices of pizza are divided equally among 36 people at a birthday party, how many slices will each person have?