AMO 2027 Grade 2 SET 1 - Self-study

When 10 is subtracted from a whole number greater than 10, the positive result is divisible by 2, 5 and 7. Find the smallest such original number.



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Cards are numbered 1 to 100. The first child gets card 1, the second gets cards 2 and 3, the third gets cards 4, 5 and 6, and so on. Which child gets card 50?



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Todd, Yasmine and Dorothy share all 35 chocolates in a box. Todd receives as many as Dorothy, and twice as many as Yasmine. How many does Dorothy receive?



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The place cards shown are folded along the dotted line so that only a number or letter is visible. Chrissy enters the room and sees all five place cards, with at least 2 number cards being shown. The sum of the numbers she sees is less than 8. How many different sets of numbers are there?



Enter one whole number, without units.

A four-digit number lock was installed at Tim's door. The tens digit is the sum of the hundreds and thousands digits. The ones digit is one-third of the tens digit. If the sum of all the digits is 21, find the tens digit.

Enter one whole number, without units.

Fill in the operations to make the following equation true. Follow the order of operations strictly from left to right, not the usual BODMAS order: $45\ \square\ 54\ \square\ 11\ \square\ 2=18$.

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Louis rides his bicycle around a park at a constant speed. He completes five and a half rounds, a distance of 2200 metres, before resting. How many metres does he cover in one round?



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Luna had 56 bows. Her friend said, “If you give me 18 bows, I will have double the number of bows you will have.” How many bows did her friend have?

Enter one whole number, without units.

The sum of three consecutive whole numbers is 81. Find the smallest number.



Enter one whole number, without units.

A total of 400 points were scored by 5 players. The top two players scored 100 each. The other two players scored 88 and 76. How much did the 5th player score?

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Carry took an afternoon nap for 35 minutes. She woke up at 4:00 pm. What time did she fall asleep? Write four digits in 12-hour HHMM format, with a leading zero if needed. For example, 1:50 am or 1:50 pm is written 0150.



Enter the four-digit time code, without a colon or am/pm.

Find the sum: $2+8+12+18+22+\cdots+92+98$. Continue the shown pattern: the increments alternate between 6 and 4.



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Some children were playing cricket. Each child brought 4 balls. During the game, 17 balls were hit outside the ground and lost. In the end, 55 balls remained altogether. How many children were playing?



Enter one whole number, without units.

Calculate $76\times8+12\times8+2\times8$.



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Harry scored 3 more marks than Alwin. Sophia scored the same as Harry. The sum of their scores was 51. How many marks did Alwin score?

Enter one whole number, without units.