AMO 2017 Grade 2

What is the value of $10+9+8+7+6-5-4-3-2-1$?

The sum of the digits of the number 108 is 9. What is the least number greater than 108 whose sum of the digits is 9?

Find the value of $90-80+70-60+50-40+30-20+10$.

Sandy multiplies $2\times5\times3\times2\times5\times3$ and writes the product as a whole number. What is the sum of the digits of this number?

Summer vacation lasts for 30 days. During summer vacation, what is the greatest number of Fridays that could occur?

When I open my Maths book, two pages face me and the sum of the two page numbers is 217. What is the page number of the very next page?

The first row has 2 dots. The second row has 4 dots. The third row has 6 dots.



More rows are added. Each additional row has 2 more dots than the row before it. How many dots will there be in the first 8 rows combined?

When 24 is added to a number, the result is the same as when the number is multiplied by 3. What is the number?

Dillon works at the park once every three days. William works at the park once every four days. They all worked together on Thursday. The park is open every day. On what day of the week will they all next work together?

(If your answer is Monday, write 001; if it is Tuesday, write 002; and so on)

A certain book has its pages numbered from 1 to 30. Then any page number that contains the digit 2 is entirely erased. What is the sum of all of the numbers that were erased?

Jack is John's brother. The sum of their ages is 17. In 5 years Jack will be twice as old as John. How old will Jack be in 5 years?

The cost of 3 pencils and 2 markers is \$12. The cost of 2 pencils and 3 markers is \$13. What is the total cost of 6 pencils and 6 markers?

At Springfield Elementary School, a shelf contains either 4 math books or 5 spelling books. On 20 shelves at Springfield Elementary school, there are 65 spelling books and some number of math books. All 20 shelves are full. How many math books are there on the shelves?

Given:



What is the value of circle + circle + square?

There are 84 unit cubes arranged in 4 square layers with no space between the cubes as shown. The layers are 1 by 1, 3 by 3, 5 by 5, and 7 by 7. How many unit cubes are completely surrounded by six other unit cubes?