Tryout AMO (American Math Olympiad) 2026 Grade 3 (25 Soal, 60 Menit)

Soal 1. Find the result: 100 + 90 − 80 − 70 + 60 + 50 − 40 − 30 + 20 − 10 + 1

Soal 2. Peter can go home on his father's birthday which falls on Thursday, 12th November this year. His father's birthday is 46 days later. What day is tomorrow?

Soal 3. What will be the digit in the hundreds place of the sum of the following expression? 40444 + 44044 + 44404 + 44440 + 1

Soal 4. Find the value of A − B − C if different letters stand for different digits.

Soal 5. Sarah’s current age is a multiple of 6. Next year, her age will be a multiple of 5. She is more than 29 years old and less than 71 years old. Find her age 13 years from now.

Soal 6. Find the sum of 2▼, 3● and 4■.

Soal 7. The following picture shows a 4 × 4 square. How many squares of any sizes are there that contain the one marked with X? After you get the total, multiply it by 2.

Soal 8. A 5-digit number is a palindrome. It satisfies: • The sum of the first three digits is 14, • 3rd digit is half of the 2nd digit, • The sum of the second, third and fourth digit is 15. Find the number, then multiply it by 10.

Soal 9. The lamp is more costly than the watch and the candle stand. The candle stand is less expensive than the watch but more expensive than the basket. Which is the most expensive item?

Soal 10. Abraham brought few marbles to school. He distributed two-sixth of the marbles among his friends on the bus. He gave 15 marbles to his classmates. Now he is left with only one-fourth of his marbles. How many marbles did he have at first?

Soal 11. In the following picture, every adjacent four cells have a sum of 20. Find the value of 6X + 7Y.

Soal 12. Mary Jane’s clock is not working properly. For every hour it lags 5 minutes behind. She set the clock correctly at 12.00 pm. What time will it be on her clock if the time now is 3.00 am?

Soal 13. Nicholas and his father’s weight add up to 100 kg. If Nicholas loses 7 kg, he will be exactly half of his father’s weight. What is the difference between their weights, in kg?

Soal 14. Identify the pattern and find the missing value.

Soal 15. It takes 10 workers to stitch 60 soft toys in 3 hours. How many soft toys will be done by 6 women in 7 hours, assuming all women work at the same pace?

Soal 16. Lyra cycles 10 km in 1 hour and 15 minutes. How many km will he complete in 10 hours and 30 minutes? (Only type the number)

Soal 17. A basket contains an equal number of balls and pebbles. The items are either white or black. There are 35 white balls, and there are 35 black items in total. If the difference between the number of black balls and white balls is 20, how many white pebbles are in the basket? (Only type the number)

Soal 18. A book has 250 pages, numbered from 1 to 250. How many digits are used in total to write all the page numbers? (Only type the number)

Soal 19. Study the pattern in the sequence below. Find the sum of the 9th and 10th term. 50, 53, 56, 61, 66, 73, 80, ... (Only type the number)

Soal 20. 60 potatoes weigh 4 kg. If 1 kg of potatoes costs \$30 and 50 cents, how much would 2 dozen potatoes cost? (Only type the number, e.g. 48.8)

Soal 21. The numbers 20, 21, 22, ..., 63, 64 are written consecutively to form a 90-digit number: 2021222324 ... 626364 All the odd digits are then removed. How many digits are left? (Only type the number)

Soal 22. Twelve ropes of equal length are knotted together to form one long rope measuring 81 cm. If 1 cm of each rope is used for the knot, what is the original length of each rope? (Only type the number)

Soal 23. Determine the digit in the ones place of the following expression: 99 × 101 × 103 × 105 × 107 − 100 × 102 × 104 × 106 × 108 (Only type the number)

Soal 24. The number pyramid below follows a certain pattern. Determine the 10th number in the 12th row. (Only type the number)

Soal 25. A number leaves a remainder of 1 when divided by 2, 3, or 6, and a remainder of 4 when divided by 5. If the number is also divisible by 7, what is the smallest possible number? (Only type the number)