AMO 2027 Grades 2-3 SET 7 - Self-study

Ksi has tomato plants in his backyard. This year the plants grew 120 tomatoes. Birds had eaten 29 of the tomatoes. 13 tomatoes had been ruined by bugs. He picked the rest. How many tomatoes did Ksi pick?

How many four-digit numbers are there in which the sum of the digits is 3?

5 years from now Mrs. Coleen will be 34 years old. The current sum of the ages of Mrs. Coleen and Mrs. Mary is 69. How old is Mrs. Coleen right now?

The sum of 5 consecutive numbers is 100. What is the smallest number?

The length of rectangle is 12cm and its breadth is 9cm. If the length increased to 6cm more than twice the original length, and the breadth increased by 11cm, what is the new perimeter?

Pi used a wire of length 39cm to make a square. The length of the leftover wire is 3cm. What is the area of the square?

Given a sequence of numbers
4, 8, 12, 16, ...
What is the 21st number in this sequence?

A. \(\text{\$20}\)

B. \(\text{\$30}\)

C. \(\text{\$40}\)

D. \(\text{\$50}\)

E. \(\text{\$120}\)

Self-study input instruction (editorial): the printed choices above do not include the term under the intended constant +4 rule. Enter the numerical 21st term instead.

Simon created the following pattern.



How many small circles are there in the fifteenth figure?

In a zoo store, two parrots cost the same as five turtles, three turtles cost the same as four hamsters. How many hamsters cost as the same as three parrots?

A factory packed 85 teddy bears into large boxes for delivery to a toy store. Each large box held 9 teddy bears. The remaining bears were packed in a small box. How many teddy bears were packed in the small box?

Mrs. Walker baked some cookies for the school bake sale. Pi bought 3 of the cookies and Ksi bought 2. Mr. Walker bought 1 dozen of the cookies. William and Starr each bought 6 cookies. Then Ms. Porter bought 4 of the cookies. That left only 3 cookies for Scott to buy. How many cookies did Mrs. Walker bake for the sale?

There are 6 people in a room. Every person shakes hand with every other person once and only once. How many handshakes are there?

Pi is going to put wooden baseboard around a rectangular bedroom. The length of the bedroom is 26 feet. The width is one half of the length. How many feet of baseboard does Pi need?

How many students do not have exactly one sibling?

Pi can catch 10 fish in an hour and Ksi can catch five fish in two hours. How long will Ksi have to fish in order to catch the same number of fish that Pi would catch in two hours?