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

Observe the pattern in the diagram below. Find the value of “X”.

There are twenty banana trees in a straight line. The distance between two adjacent banana trees is 3 metres. What is the distance between the first tree and eighth tree?

A number is divided by 6. Then 7 is added to the divisor. After dividing by 4, the result is 4. What is the number?

Find the next term of the following sequence:

2, 3, 5, 8, 12, ...

The Girl Scout Troop had 350 boxes of cookies to sell outside the grocery store. They sold 46 more boxes in the morning than they did in the afternoon. If all the cookies were sold, how many cookies were sold in the morning?

Tom packs 8 kg of sugar into the same size packets. Each packet contains 900 grams of sugar. How much sugar is left unpacked?

A. 100 grams

B. 200 grams

C. 300 grams

D. 400 grams

E. 500 grams

Count the number of cubes in each figure below.

Complete the number patterns:

a) 1, 2, 4, 8, 16, ( ), ( ), ( ), …

b) 2, 3, 5, 8, 12, 17, ( ), ( ), ( ), …

c) 24, 30, ( ), 42, ( ), 54, …

d) 11, 88, 16, 80, 21, 72, ( ), ( ), …

In the following, all the different letters stand for different digits. Find the three-digit sum MOO.



$$\begin{array}{rrr}&A&M\\+&&A\\\hline M&O&O\end{array}$$

About how far away is Virginia Beach from Washington?

A man walked a total of 65 miles for 5 days. Every day he walked 4 miles less than the day before. How many miles did the man walk on the last day?

Find the area of this compound shape.

Joseph has 5 sweets. Ivy has 2 sweets more than Joseph. How many sweets do they have altogether?

a) Peter has a square piece of gold. Each side of the square is 9 millimeters long. What is the piece of gold’s perimeter?

b) A rectangular swimming pool is 10 meters wide and 15 meters long. What is its perimeter?

3 years from now Mr. Walker will be 38 years old. In 13 years, the sum of the ages of Mr. Walker and Mrs. Walker will be 83. How old is Mrs. Walker right now?