AMO 2027 Grade 2 SET 5 - Self-study

Bret has fewer marbles than Ruby but more than Teresa. Patrick has fewer marbles than Suzy and fewer than Bret. Teresa has fewer marbles than Suzy, but she does not have the least number of marbles. Who has the least number of marbles?



Choose one option.

Olivia gave 18 cookies to Lara. Now Lara has twice as many cookies as Olivia. They had 105 cookies in total at first. How many cookies did Olivia have at first? No cookies were eaten or lost.



Enter one whole number, without units.

What will the time be 5400 seconds after 5 pm?



Choose one option.

Count the triangles in the picture.



Choose one option.

Garry left his house for the park which is 10 minutes away on foot. He then played football for 45 minutes and was back after chatting with his friends for 15 minutes. If he got back home by 7.00 pm, then what time did he leave his house?

**Editorial note:** For the source’s intended answer, take the arrival as exactly 7.00 pm. The return walk also takes 10 minutes, and the listed activities happen consecutively with no extra delay. Choose one option.

Square ABCD has area $72\text{ m}^2$. It is divided into nine smaller squares of equal area. Find the total area of five of these smaller squares, in square metres.



Choose one option.

Count the blocks in the original picture. Treat each stack as solid, including blocks hidden behind the visible ones.



Choose one option.

What should be added to the number formed by 5 hundreds, 3 tens and 8 ones so that the new number has the same digits in reverse order? For example, reversing 123 gives 321.



Choose one option.

Five students entered a contest to guess the number of candies in a box. Alan guessed 25, Beth 30, Charles 27 and David 35. Roma was declared the winner. One of the four other students guessed 4 more than Roma, and another guessed 4 less. What number did Roma guess?



Enter one whole number, without units.

Ayer and Kumar tossed a coin. Ayer wins if it is a head while Kumar wins if it is a tail. The winner gets 3 marbles from the loser. Both had 20 marbles each in the beginning. They played 10 rounds and Ayer won 4 rounds. What is the total number of marbles Kumar had in the end?

Enter one whole number, without units.

If 5 postmen deliver 200 letters in 2 days. How many postmen will be needed to deliver 600 letters in 3 days?

**Editorial note:** Assume every postman works at the same constant rate for the same amount of time each day. Choose one option.

Suppose today is 15th August, Friday. How many Sundays will there be as of 30th October?

**Editorial note:** Use the stated hypothetical calendar, not the actual 2027 calendar. Count Sundays after 15 August through 30 October inclusive. Choose one option.

Each term of a sequence is found by subtracting the same number from the preceding term. The first term is 257 and the fifth is 209. What is the fifteenth term?



Enter one whole number, without units.

How many 3-digit numbers have the sum of the digits less than 5?

Original printed choices: A. 4; B. 8; C. 12; D. 15; E. 19.

**Editorial note:** The printed choices contain a source error. Enter the corrected count rather than an option letter. Three-digit numbers range from 100 to 999. Enter only the number, without units.

A two-digit number is doubled, then 25 is added. The result is three times the original number. What is the original number?



Choose one option.