AMO 2027 Grades 2-3 SET 25 - Self-study

A new number is formed by placing a zero between 3 and 7 of the number 23791. Find the difference between the two numbers.



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Ten small ropes of equal length are knotted together to form a big rope 81 cm long. The question says the knotted area is 1 cm for every rope. How long is each small rope, in centimetres?

Use the source model: join the ten ropes end to end in one open chain; each join reduces the total length by 1 cm.



Enter one whole number, without units.

A jar of 30 chocolates is shared among Ann, Alice and Alisha. Alice takes more than either of the others. What is the least number she could take? All 30 chocolates are distributed whole.



Enter one whole number, without units.

Three students each pick one ball from a bag containing three balls of different colours. How many different assignments are possible? Each ball is taken once, without replacement; students are distinct.



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Nine lemons weigh the same as three peaches, and six peaches weigh the same as two mangoes. How many lemons weigh the same as five mangoes? Assume fruits of the same kind have equal weights.



Enter one whole number, without units.

Find the difference between the 15th and 18th terms of 44, 59, 74, 89, … . Continue the same increase between consecutive terms. Difference means the larger term minus the smaller.



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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.



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Tom’s clock loses 5 minutes for every hour of real time. He sets it correctly at 12:00 pm (noon). What time does it show when the real time is 2:00 am the next morning?



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Sheila has to write 48 pages. She has finished only one-fourth of them. How many pages remain to be written?



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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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Study the sequence 50, 53, 56, 61, 66, 73, 80, … . Find the sum of its 9th and 10th terms. Use the intended rule: consecutive odd increases, starting at 3, are each used twice.



Enter one whole number, without units.

Alice picks two cards from a 52-card deck whose values sum to 15. How many combinations are possible? A = 1, J = 11, Q = 12, K = 13; the remaining ranks have values 2 to 10.

Count unordered pairs of rank values only. Ignore suits and do not count the reversed order again.



Enter one whole number, without units.

A number is multiplied by 3 and then 5 is added. The final result is 26. What is the number?

The original options are A. 19; B. 20; C. 18; D. 21; E. 17. This edition keeps the stated result 26. Enter a number rather than an option letter, whether or not it appears among the original options.



Enter one whole number, without units.

Some chocolates weigh 1120 grams. After 13 are removed, the remaining chocolates weigh 600 grams. How many were there at first? Assume every chocolate has the same weight.



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Suzy has five children. Amy is older than Beth but younger than Carla. David is older than Erwin but younger than Beth. Who is the eldest?



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