Question bank AMO 2025

Question 1

A, B and C are different digits from 1 to 9. The two-digit numbers BC and BB add to the three-digit number AAA, as shown. Find $A\times B\times C$.

1. 18
2. 24
3. 27
4. 30

Question 2

Katie used all her fruit stickers to make the picture graph. Which two fruits make up half of her collection?

1. Apples and Bananas
2. Bananas and Pears
3. Apples and Pears
4. Peaches and Pears

Question 3

Mary and Emma need to make 120 paper flowers. Mary alone takes 8 hours; Emma alone takes 12 hours. Working together at their usual steady rates, about how many hours do they need?

1. About 7 hours
2. About 6 hours
3. About 5 hours
4. About 4 hours

Question 4

Mick places a pen next to a triangular ruler with centimetre marks, as shown. How long is the pen in whole centimetres?

1. 15
2. 16
3. 20
4. 22

Question 5

John started playing soccer at 4:15 p.m. and stopped at 5:30 p.m. How many minutes did he play?

1. 45 minutes
2. 65 minutes
3. 75 minutes
4. 80 minutes

Question 6

Mr. Jones had 24 apples. He gave half of the original 24 apples to his students and one-third of the original 24 to his friends. What fraction of all 24 apples did he keep?

1. $\frac13$
2. $\frac14$
3. $\frac15$
4. $\frac16$

Question 7

Six points are shown on the square grid. Which two points can lie on the same circle with centre P?

1. A and C
2. A and D
3. B and E
4. C and D

Question 8

A large triangle is divided as shown. How many triangles of all sizes are formed by the drawn lines?

1. 12
2. 15
3. 17
4. 20

Question 9

Peter has 55 pennies. He arranges as many as possible into a filled square array, with no large spaces between coins. How many pennies remain?

1. 3
2. 4
3. 5
4. 6

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20