Tryout AMO (American Math Olympiad) 2026 Grade 2 (25 Soal, 60 Menit)

Soal 1. Calculate the sum of the following series by using pairwise addition:4 + 16 + 24 + 36 + 44 + 56.

Soal 2. The sum of twice 25 and one-third of 21 is subtracted from 100. What is the final result?

Soal 3. Mary Jane has five children. Amy is older than Beth but younger than Carla. David is younger than Beth but older than Erwin. Who is the oldest child?

Soal 4. Sarah celebrates her birthday on September 6th every year. Today is Sunday, July 27th. What day of the week will Sarah’s birthday fall on this year?

Soal 5. On a number chart from 1 to 100, we reached 50 after adding 72 and then subtracting 36 from the original number. What was the original number?

Soal 6. How many natural numbers less than 300 have digits that add up to 5?

Soal 7. Simon walks 10 meters from his house toward school, then travels the remaining three-fourths of the total distance by bus. How far is Simon’s school from his house?

Soal 8. A square ABCD has a total area of 72 m². It is divided into 9 smaller congruent squares. What is the combined area of 5 of the smaller squares?

Soal 9. A 1-liter bottle is being filled using a 150-ml jug and a 50-ml jug. Each jug is poured into the empty bottle three times. How much more liquid is needed to fill the bottle completely?

Soal 10. Each letter of the alphabet is assigned a number according to its position (A=1, B=2, …, Z=26). Find the sum of the digits obtained by representing the word SMART (for example, DOG is represented as 4 15 7).

Soal 11. From 1 a.m. to 1 p.m., how many times do the hour hand and the minute hand overlap while passing an even-numbered hour on the clock?

Soal 12. Look at the stacked blocks (small cubes). The bottom layer has 9 blocks, the middle layer has 7 blocks, and the top layer has 5 blocks. How many blocks are needed at least to make a big cube?

Soal 13. Each fan has 3 blades. How many blades are there altogether in 150 fans?

Soal 14. A triangle is divided into 4 equal smaller triangles. Each pair of neighboring small triangles can also form a larger triangle. How many triangles are there altogether?

Soal 15. Which number is made up of 2 hundreds, 5 more tens than 20, and 1 fewer than 7?

Soal 16. Peter earned 3 more marks than Alwin. Sophia earned the same number of marks as Harry. Together, Alwin, Peter and Sophia scored a total of 51 marks. How many marks did Alwin earn?(Only type the number)

Soal 17. Alice chooses two cards from a standard 52-card deck. The values are A=1, J=11, Q=12, K=13, and 2–10 as written. If the sum of the values of the two cards is 15, how many different pairs of cards can Alice choose? (Each value has 4 suits.)(Only type the number)

Soal 18. Five students participated in a contest to guess the number of candies in a box. Peter guessed 25, Beth guessed 30, Charles guessed 27, and David guessed 35. Roma was announced as the winner. One of the other students guessed 4 more candies than Roma, while another guessed 4 fewer than Roma. What number did Roma guess?(Only type the number)

Soal 19. Mentik and Gede played a coin-toss game. Mentik wins on heads, Gede wins on tails. For each round, the winner receives 3 marbles from the loser. Both started with 20 marbles. After 10 rounds, Mentik had won 4 rounds. How many marbles did Gede have at the end of the game?(Only type the number)

Soal 20. The place cards are folded so that only one number or letter is visible on each card. When Chrissy enters the room, she can see all five place cards, with at least two of them showing numbers. The sum of the numbers she sees is less than 8. How many different sets of numbers are possible?(Only type the number)

Soal 21. When the digits of a two-digit number are switched to create another number, the difference between the original number and the new number is 45. How many different pairs of numbers satisfy this condition?(Only type the number)

Soal 22. Tom Holland listed the numbers 1, 2, 3, 11, 22, 33, 111, 222, 333, … in order until he had written a total of 17 numbers. What is the sum of the digits of the last number on his list?(Only type the number)

Soal 23. A jar contains 30 chocolates, which are shared among Abam, Ichi, and Alisha. Ichi receives more chocolates than either of the other two. What is the smallest number of chocolates Ichi could have received?(Only type the number)

Soal 24. A group of children were playing cricket. Each child brought 4 balls to the game. During the game, 17 balls were hit out of the field and lost. At the end, 55 balls remained. How many children were playing cricket?(Only type the number)

Soal 25. Patrick began jumping every day. On the first day, he jumped 10 times. On the second day, he jumped 8 more times than on the first day. He continued increasing the number of jumps by 8 each day. On which day will he first jump at least 100 times?(Only type the number)