Tài liệu ôn thi toán AMO lớp 5 năm 2019 - Học tốt - Thích học toán

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Instructors:

Dr

. T

ran

Nam

Dung,

Dr

. L

e

Minh

Tuan

TRAINING COURSE FOR AMO 2019

PREPARE FOR AMO 2019 - GRADE 5

Week 3

Introduction:This problem set is to help students get used to the problems appearing in AMO. Students should finish this set in
30 minutes.

The space after each question is intentionally left blank for students to draft. In the real test, students do not have any drafts out of
the blank spaces in the test paper.

For more information, visit our official pages: or https://www.
facebook.com/giaoductienphong/.

Exercise 1. A van was travelling from Town A to Town B. If it increased its speed by 15 km/h,
it would take 4 hours, instead of 5 hours, to reach Town B. Find the distance between the two
towns.

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Instructors:

Dr

. T

ran

Nam

Dung,

Dr

. L

e

Minh

Tuan

Exercise 2. Alan and Ben were having a ninety-meter race. When Alan was 26m away from the
finishing point, Ben was 8m ahead of him. How far was Alan from the finishing line when Ben
finished the race?

Exercise 3. Peter was walking from the library to the mall. At the same time, Jane was walking
from the mall to the library on the same road. They met 5 minutes later. Given that their walking
speeds were 60m/min and 50 m/min respectively, what was the distance between the library and
the mall?

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Instructors:

Dr

. T

ran

Nam

Dung,

Dr

. L

e

Minh

Tuan

Exercise 4. In a building, there are 25 steps in the staircase leading from one storey to another.
How many steps are there from the second to the tenth storey in that building? (Assume the
number of steps in the staircase is the same)

Exercise 5. The stretch of road leading to Cindy’s house is to be planted with some trees at regular
intervals of 15m, and trees are planted at opposite ends of the road. If the road is 900m long, how
many trees are to be planted along that stretch of road?

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Instructors:

Dr

. T

ran

Nam

Dung,

Dr

. L

e

Minh

Tuan

Exercise 6. Lamp posts are planted at regular intervals of 30 m along a 1800-metre road. If the
lamp posts are placed at opposite ends of the road, how many lamp posts are placed along the
road?

Exercise 7. How many ways are there to go from point A to point B following the movements of

→and↓?

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Instructors:

Dr

. T

ran

Nam

Dung,

Dr

. L

e

Minh

Tuan

Exercise 8. An expo hall is divided into 24 rooms as shown. In how many ways can you walk from

Room A to Room B while passing through Room P? [Hint: Follow the movements of→and↓]

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Instructors:

Dr

. T

ran

Nam

Dung,

Dr

. L

e

Minh

Tuan

Exercise 9. How many shortest paths are there from A to B that pass through P without passing
through Q?

ANSWER KEY

Exercise 1. 300
Exercise 2. 010
Exercise 3. 550
Exercise 4. 200
Exercise 5. 061
Exercise 6. 061
Exercise 7. 070

Exercise 8. 018
Exercise 9. 027

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Instructors:

Dr

. T

ran

Nam

Dung,

Dr

. L

e

Minh

Tuan

TRAINING COURSE FOR AMO 2019

PREPARE FOR AMO 2019 - GRADE 5

Week 4

Introduction:This problem set is to help students get used to the problems appearing in AMO. Students should finish this set in
30 minutes.

The space after each question is intentionally left blank for students to draft. In the real test, students do not have any drafts out of
the blank spaces in the test paper.

For more information, visit our official pages: or https://www.
facebook.com/giaoductienphong/.

Exercise 1. Where 3

7 =

63. What is value of x?

Exercise 2. The Cheshire Senior Center is hosting the bingo night; $2400 in prize money will be
given away. The first winner of the night will receive 1

3 of the money. The next ten winners will

receive 1

10 of the remaining amount. How many dollars will each of the ten winners receive?

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Instructors:

Dr

. T

ran

Nam

Dung,

Dr

. L

e

Minh

Tuan

Exercise 3. Joey, Aaron, Barbara, and Stu have been collecting pennies and putting them in
iden-tical containers. Joey’s container is 3

4 full, Aaron’s is
3

5 full, Barbara’s is
2

3, and Stu’s is
2

5 full. Find

the sum of the numerator and the denominator of the person has the most pennies?

Exercise 4. What percent of the figure below is shaded?

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Instructors:

Dr

. T

ran

Nam

Dung,

Dr

. L

e

Minh

Tuan

Exercise 5. Michelle purchases a vocation home with her sisters. Michelle has $40,000 invested in
the property, which is worth $400,000. What percent of the property does Machelle own?

Exercise 6. Kyra’s weekly wages are $800. A Social Security tax of 5% and a State Disability
Insurance of 2% are taken out of her wages. What is her weekly paycheck, assuming there are no
other deductions?

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Instructors:

Dr

. T

ran

Nam

Dung,

Dr

. L

e

Minh

Tuan

Exercise 7. Among Kim and two other friends, Bernice is the lightest and Sabrina is the heaviest.
The table below shows the total weight of two girls weighing themselves.

1st reading 45 kg

2nd reading 55 kg

3rdreading 50 kg
Find the weight of Sabrina ?

Exercise 8. Mr Wood and Mr Smith each have two children below 9 years old. Below shows some
information about their children.

• Mike is 3 years younger than his brother.
• Royston is the oldest among the four children.
• Sean’s age is half of Mr Wood’s child’s age.

• Jack is 1 year older than Mr Smith’s younger child.
• Each family had only one child three years ago.

If the ages of the children are different, can you find Jack’s age?

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Instructors:

Dr

. T

ran

Nam

Dung,

Dr

. L

e

Minh

Tuan

Exercise 9. Four teams are competing against one another for District Volleyball Championship.
Every team must play exactly once against the other three teams. So far, Team A has played 3
matches, Team B has played 2 matches and Team D has played 1 match. How many matches has
Team C played?

ANSWER KEY

Exercise 1. 027

Exercise 2. 160

Exercise 3. 135

Exercise 4. 075

Exercise 5. 035

Exercise 6. 744

Exercise 7. 030

Exercise 8. 002

Exercise 9. 002

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