AMO 2027 Grades 2-3 SET 11 - Self-study

Ksi had three boxes of pencils with sixteen pencils in each box. He gave nine pencils to his brother. How many pencils did Ksi have left?

The figure below is formed by 12 identical squares. The perimeter of the figure is 180 cm. What is the area of each square?

5 years from now Harry will be twice as old as James. The current sum of the ages of Harry and James is 86. How old is James right now?

In following multiplication, different letters stand for different digits, and ABC and DBC each represents a three-digit number. Given that C ≠ 6, what number does DBC represent?



Self-study input instruction (editorial): two values are possible; enter either one.

A television show has 483 episodes. If the show starts on Saturday and broadcasts everyday with three episodes each day, on what day will the last episode be broadcasted?

When three girls jumped on a weighing scale together, it read 164 kilograms. One girl stepped off and the scale moved down to 104 kilograms. One more girl jumped off and the scale showed 55 kilograms. What was each girls weight?

Self-study input instruction (editorial): enter the three weights in kilograms separated by semicolons, in the order first girl off; second girl off; girl remaining.

**Editorial input note:** Use no spaces before or after semicolons.

How many squares are there in the figure below?

How many rectangles are there in the given figure?

A road is 650m long. If trees are planted on both its sides at intervals of 5m. How many trees are planted on the both sides of the road if both ends of the road are also planted with trees?

Alice writes all counting numbers from 1 to 99 on the blackboard. How many times does the digit “9” appear on the blackboard?

When conducting an inventory of the PE storage room, Coach Carlson found several basketballs, tennis balls, footballs and baseballs in a locker. He found 4, 6, 8 and 10 of them (a different number for each type). He recorded that:

• There are fewer tennis balls than footballs.

• There are 6 more baseballs than basketballs.

How many footballs are there?

Find the value of

T = 1 + 2 + 3 + 4 + .... + 27 + 28 + 29 + 30.

There are 24 pots on all the sides and the corners of a square field. Suppose the pots that are next to each other are all equally spaced. How many pots are placed on each side of the field?

A supermarket manager made a bar chart to show the number of Pepsi bottles sold in the first five months of a year. If the total number of Pepsi bottles is 13000, how many total bottles were sold in January and April?

Find the missing number.



Self-study rule (editorial): the sum of the four outside numbers equals the number in the center.